564928512 has 112 divisors (see below), whose sum is σ = 1526633472. Its totient is φ = 185794560.

The previous prime is 564928487. The next prime is 564928517. The reversal of 564928512 is 215829465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564928517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3121062 + ... + 3121242.

It is an arithmetic number, because the mean of its divisors is an integer number (13630656).

Almost surely, 2^564928512 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 564928512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763316736).

564928512 is an abundant number, since it is smaller than the sum of its proper divisors (961704960).

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

564928512 is a wasteful number, since it uses less digits than its factorization.

564928512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 313 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 564928512 is about 23768.2248390577. The cubic root of 564928512 is about 826.6680726072.

The spelling of 564928512 in words is "five hundred sixty-four million, nine hundred twenty-eight thousand, five hundred twelve".