Alright, let's work through 4477 times 4621 step by step
4477 × 4621 = 4621 × (4477)
+ 4621 × 7 which equals 32347
+ 4621 × 70 which equals 323470
+ 4621 × 400 giving us 1848400
+ 4621 × 4000 that equals 18484000

= 20688217
