flip over, upset, capsize
飜 centers on a sudden, forceful overturning: flipping something over, capsizing a vessel, or causing an upset that reverses the expected order.
飜 combines 番 (which may contribute a sound element) with 飛 (to fly), suggesting the idea of something being flipped or turned over as if flying upside down. The exact historical development is uncertain.
The left side 番 suggests a sequence or order, and the right side 飛 means to fly. Imagine a flying object suddenly flipping over in mid-air, upsetting its normal path and capsizing.
For ハン, picture a hand flipping over a heavy pan: hand -> ハン, and the pan capsizes with a loud clatter.