Put oven rack in middle position and preheat oven to 350°F. Lightly butter and flour cake pan, knocking out excess flour.
Make caramelized apples: Peel and core apples, then cut into 1/2-inch-thick wedges.
Spread softened butter in an even layer over bottom of a 12-inch heavy skillet and sprinkle with brown sugar. Add apple wedges and cook over moderate heat, without stirring, until sugar is melted and apples start to give off liquid, about 10 minutes. Cook, stirring occasionally, until apples are just tender and juices become syrupy, about 30 minutes more.
Pour syrup from skillet into a small heatproof bowl, then sauté apples, stirring occasionally, until caramelized and very tender, about 30 minutes more. Return syrup to apples and cook until heated through, about 2 minutes.
Make cake while apples cook: Whisk together flour, baking powder, baking soda, salt, and spices in a bowl.
Beat together butter and brown sugar in a large bowl with an electric mixer at medium speed until pale and fluffy. Beat in egg until combined. Add maple syrup, sour cream, and vanilla and beat until combined well. Reduce speed to low and add flour mixture, then mix until just incorporated.
Spread batter in cake pan and bake until cake is golden brown and a wooden pick or skewer inserted in center comes out clean, 35 to 40 minutes. Cool in pan on a rack 10 minutes.
Make cream just before serving: Beat cream with sour cream and sugar using cleaned beaters at high speed until it just holds soft peaks.
To serve: Run a thin knife around edge of pan, then invert cake onto a plate and cut into squares. Serve warm or at room temperature, topped with warm apple mixture and cream.
Cooks' notes: ·Caramelized apples can be made 1 day ahead and cooled completely, uncovered, then chilled, covered. Reheat over low heat. ·Cake can be made 1 day ahead and cooled completely, uncovered, then kept, loosely covered with plastic wrap, at room temperature.

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Nutrition Facts

Per Serving Per 100 g

Amount Per 1 Serving
Calories	1186.59 Kcal (4968 kJ)
Calories from fat	674.99 Kcal
		% Daily Value*
Total Fat	75g	115%
Cholesterol	109.22mg	36%
Sodium	244.89mg	10%
Potassium	425.59mg	9%
Total Carbs	132.39g	44%
Sugars	43.32g	173%
Dietary Fiber	14.74g	59%
Protein	14.97g	30%
Vitamin C	9.3mg	15%
Vitamin A	0.3mg	9%
Iron	22.7mg	126%
Calcium	127.3mg	13%

Amount Per 100 g
Calories	376.91 Kcal (1578 kJ)
Calories from fat	214.41 Kcal
		% Daily Value*
Total Fat	23.82g	115%
Cholesterol	34.69mg	36%
Sodium	77.79mg	10%
Potassium	135.19mg	9%
Total Carbs	42.05g	44%
Sugars	13.76g	173%
Dietary Fiber	4.68g	59%
Protein	4.75g	30%
Vitamin C	2.9mg	15%
Vitamin A	0.1mg	9%
Iron	7.2mg	126%
Calcium	40.4mg	13%

* Percent Daily Values are based on a 2000 calorie diet. Your daily values may be higher or lower depending on your calorie needs.
Find out how many calories should you eat.

Tastes

salty
savory
bitter
sweet

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