ホン, ハン, ひるがえ.る, ひるがえ.す
flip, turn over, wave, flutter, change (mind)
JLPT1 G7 S18 F1465
As per 番# (spread) + 羽 feather/wing → birds spreading and flapping their wings in preparation to take flight → *flutter*; *wave* → *dodge*; *leap up*. Also, *change* (one's mind) and *turn over*. Note a variant form, 飜, which replaces 羽 with 飛 fly.
[Full Kanji Etymology List]