Is 408 an abundant number and what is its abundance?

Is 408 an abundant number?

Here we will explain and calculate if 408 is an abundant number and its abundance if applicable.

408 is an abundant number if the sum of its proper divisors is greater than 408.

The sum of its proper divisors is calculated as follows: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 17 + 24 + 34 + 51 + 68 + 102 + 136 + 204 = 672.

672 is greater than 408. Therefore, 408 is an abundant number.

The abundance of 408 is the sum of its proper divisors minus 408. Thus, the abundance of 408 is 672 - 408 = 264

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