413564304 has 80 divisors (see below), whose sum is σ = 1167782400. Its totient is φ = 125552640.

The previous prime is 413564303. The next prime is 413564329. The reversal of 413564304 is 403465314.

It is not an unprimeable number, because it can be changed into a prime (413564303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17122 + ... + 33470.

It is an arithmetic number, because the mean of its divisors is an integer number (14597280).

Almost surely, 2^413564304 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 413564304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583891200).

413564304 is an abundant number, since it is smaller than the sum of its proper divisors (754218096).

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

413564304 is a wasteful number, since it uses less digits than its factorization.

413564304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16408 (or 16402 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 413564304 is about 20336.2804858706. The cubic root of 413564304 is about 745.0424455194.

The spelling of 413564304 in words is "four hundred thirteen million, five hundred sixty-four thousand, three hundred four".