Many riders stop pedaling on descents, coasting all the way to the bottom. But for three important reasons it's better to shift into a higher gear and keep your legs turning even if not actually applying power.
1. It gives you the ability to instantly accelerate to an even faster speed. This might be necessary if, for instance, a dog comes after you or the light ahead is about to change. If you aren't already in a higher gear with your legs revolving, you'll lose precious seconds.
2. It makes your bike more stable. You don't need to be pushing hard to get this effect. You can "soft pedal" against a mild resistance. Dreaded bike shimmy is more likely when coasting than pedaling.
3. Pedaling prevents your pistons from petrifying. (Say that fast 10 times.) Suddenly coasting after working hard on a climb makes leg muscles stiffen, especially in cool air. Even a slow rotation against no resistance keeps legs loose. You'll feel the benefit when the road flattens and you resume spinning.