564407312 has 80 divisors (see below), whose sum is σ = 1347830400. Its totient is φ = 223534080.

The previous prime is 564407303. The next prime is 564407323. The reversal of 564407312 is 213704465.

It is a super-2 number, since 2×564407312² = 637111227678130688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84014 + ... + 90482.

It is an arithmetic number, because the mean of its divisors is an integer number (16847880).

Almost surely, 2^564407312 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 564407312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673915200).

564407312 is an abundant number, since it is smaller than the sum of its proper divisors (783423088).

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

564407312 is a wasteful number, since it uses less digits than its factorization.

564407312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6544 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 564407312 is about 23757.2580909498. The cubic root of 564407312 is about 826.4137678818.

The spelling of 564407312 in words is "five hundred sixty-four million, four hundred seven thousand, three hundred twelve".