564442564 has 27 divisors (see below), whose sum is σ = 1149721293. Its totient is φ = 241761408.

The previous prime is 564442559. The next prime is 564442591. The reversal of 564442564 is 465244465.

It is a happy number.

The square root of 564442564 is 23758.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 543356100 + 21086464 = 23310^2 + 4592^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 331764 + ... + 333460.

Almost surely, 2^564442564 is an apocalyptic number.

564442564 is the 23758-th square number.

It is an amenable number.

564442564 is an abundant number, since it is smaller than the sum of its proper divisors (585278729).

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

564442564 is an equidigital number, since it uses as much as digits as its factorization.

564442564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 1706 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The cubic root of 564442564 is about 826.4309730284.

The spelling of 564442564 in words is "five hundred sixty-four million, four hundred forty-two thousand, five hundred sixty-four".