A prime number is a natural number, greater than one, that can only be divided by 1 and itself.
The number 177408 can be evenly divided by 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 64 66 72 77 84 88 96 99 112 126 128 132 144 154 168 176 192 198 224 231 252 256 264 288 308 336 352 384 396 448 462 504 528 576 616 672 693 704 768 792 896 924 1,008 1,056 1,152 1,232 1,344 1,386 1,408 1,584 1,792 1,848 2,016 2,112 2,304 2,464 2,688 2,772 2,816 3,168 3,696 4,032 4,224 4,928 5,376 5,544 6,336 7,392 8,064 8,448 9,856 11,088 12,672 14,784 16,128 19,712 22,176 25,344 29,568 44,352 59,136 88,704 and 177,408, with no remainder.
Since 177,408 cannot be divided by just 1 and 177,408, it is not a prime number.