564511360 has 192 divisors, whose sum is σ = 1607454720. Its totient is φ = 188934144.

The previous prime is 564511243. The next prime is 564511369. The reversal of 564511360 is 63115465.

It is not an unprimeable number, because it can be changed into a prime (564511369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1473729 + ... + 1474111.

It is an arithmetic number, because the mean of its divisors is an integer number (8372160).

Almost surely, 2^564511360 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 564511360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803727360).

564511360 is an abundant number, since it is smaller than the sum of its proper divisors (1042943360).

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

564511360 is a wasteful number, since it uses less digits than its factorization.

564511360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 564511360 is about 23759.4478050312. The cubic root of 564511360 is about 826.4645476494.

The spelling of 564511360 in words is "five hundred sixty-four million, five hundred eleven thousand, three hundred sixty".