413312256 has 216 divisors, whose sum is σ = 1392372800. Its totient is φ = 117863424.

The previous prime is 413312209. The next prime is 413312261. The reversal of 413312256 is 652213314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790011 + ... + 790533.

Almost surely, 2^413312256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413312256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696186400).

413312256 is an abundant number, since it is smaller than the sum of its proper divisors (979060544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413312256 is an equidigital number, since it uses as much as digits as its factorization.

413312256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 535 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 413312256 is about 20330.0825379535. The cubic root of 413312256 is about 744.8910586465.

The spelling of 413312256 in words is "four hundred thirteen million, three hundred twelve thousand, two hundred fifty-six".