564300032 has 72 divisors (see below), whose sum is σ = 1183230720. Its totient is φ = 268083200.

The previous prime is 564300007. The next prime is 564300041. The reversal of 564300032 is 230003465.

It is a super-2 number, since 2×564300032² = 636869052230402048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 564299980 and 564300007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1407032 + ... + 1407432.

It is an arithmetic number, because the mean of its divisors is an integer number (16433760).

Almost surely, 2^564300032 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 564300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591615360).

564300032 is an abundant number, since it is smaller than the sum of its proper divisors (618930688).

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

564300032 is a wasteful number, since it uses less digits than its factorization.

564300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 564300032 is about 23755.0001473374. Note that the first 3 decimals coincide. The cubic root of 564300032 is about 826.3614042283.

Adding to 564300032 its reverse (230003465), we get a palindrome (794303497).

The spelling of 564300032 in words is "five hundred sixty-four million, three hundred thousand, thirty-two".