413265312 has 72 divisors (see below), whose sum is σ = 1215772740. Its totient is φ = 133002240.

The previous prime is 413265289. The next prime is 413265329. The reversal of 413265312 is 213562314.

413265312 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 653 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 398241936 + 15023376 = 19956^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16389 + ... + 33092.

Almost surely, 2^413265312 is an apocalyptic number.

It is an amenable number.

413265312 is an abundant number, since it is smaller than the sum of its proper divisors (802507428).

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

413265312 is a wasteful number, since it uses less digits than its factorization.

413265312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49526 (or 49515 counting only the distinct ones).

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

The square root of 413265312 is about 20328.9279599294. The cubic root of 413265312 is about 744.8628560069.

The spelling of 413265312 in words is "four hundred thirteen million, two hundred sixty-five thousand, three hundred twelve".