564168256 has 112 divisors (see below), whose sum is σ = 1255288320. Its totient is φ = 250306560.

The previous prime is 564168221. The next prime is 564168271. The reversal of 564168256 is 652861465.

It is a Harshad number since it is a multiple of its sum of digits (43).

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, 1450110 + ... + 1450498.

Almost surely, 2^564168256 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 564168256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

564168256 is an abundant number, since it is smaller than the sum of its proper divisors (691120064).

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

564168256 is a wasteful number, since it uses less digits than its factorization.

564168256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The square root of 564168256 is about 23752.2263377562. The cubic root of 564168256 is about 826.2970749284.

The spelling of 564168256 in words is "five hundred sixty-four million, one hundred sixty-eight thousand, two hundred fifty-six".