413655624 has 48 divisors (see below), whose sum is σ = 1132922700. Its totient is φ = 136333824.

The previous prime is 413655617. The next prime is 413655659. The reversal of 413655624 is 426556314.

It can be written as a sum of positive squares in 2 ways, for example, as 312653124 + 101002500 = 17682^2 + 10050^2 .

It is a super-2 number, since 2×413655624² = 342221950533658752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 25869 + ... + 38684.

Almost surely, 2^413655624 is an apocalyptic number.

It is an amenable number.

413655624 is an abundant number, since it is smaller than the sum of its proper divisors (719267076).

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

413655624 is a wasteful number, since it uses less digits than its factorization.

413655624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64654 (or 64647 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 413655624 is about 20338.5256102796. The cubic root of 413655624 is about 745.0972796112.

The spelling of 413655624 in words is "four hundred thirteen million, six hundred fifty-five thousand, six hundred twenty-four".