564733104 has 120 divisors (see below), whose sum is σ = 1617485760. Its totient is φ = 169618176.

The previous prime is 564733093. The next prime is 564733111. The reversal of 564733104 is 401337465.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348007 + ... + 349625.

It is an arithmetic number, because the mean of its divisors is an integer number (13479048).

Almost surely, 2^564733104 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 564733104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808742880).

564733104 is an abundant number, since it is smaller than the sum of its proper divisors (1052752656).

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

564733104 is a wasteful number, since it uses less digits than its factorization.

564733104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 564733104 is about 23764.1137852856. The cubic root of 564733104 is about 826.5727471633.

The spelling of 564733104 in words is "five hundred sixty-four million, seven hundred thirty-three thousand, one hundred four".