564267456 has 84 divisors (see below), whose sum is σ = 1669596864. Its totient is φ = 182016000.

The previous prime is 564267439. The next prime is 564267467. The reversal of 564267456 is 654762465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2056 + ... + 33656.

Almost surely, 2^564267456 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 564267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834798432).

564267456 is an abundant number, since it is smaller than the sum of its proper divisors (1105329408).

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

564267456 is a wasteful number, since it uses less digits than its factorization.

564267456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31650 (or 31637 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 564267456 is about 23754.3144712703. The cubic root of 564267456 is about 826.3455024824.

The spelling of 564267456 in words is "five hundred sixty-four million, two hundred sixty-seven thousand, four hundred fifty-six".