564644256 has 192 divisors, whose sum is σ = 1740082176. Its totient is φ = 158412800.

The previous prime is 564644233. The next prime is 564644257. The reversal of 564644256 is 652446465.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (564644257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274371 + ... + 1274813.

It is an arithmetic number, because the mean of its divisors is an integer number (9062928).

Almost surely, 2^564644256 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 564644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870041088).

564644256 is an abundant number, since it is smaller than the sum of its proper divisors (1175437920).

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

564644256 is a wasteful number, since it uses less digits than its factorization.

564644256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 564644256 is about 23762.2443384458. The cubic root of 564644256 is about 826.5293973717.

The spelling of 564644256 in words is "five hundred sixty-four million, six hundred forty-four thousand, two hundred fifty-six".