564804 has 36 divisors (see below), whose sum is σ = 1479660. Its totient is φ = 181440.

The previous prime is 564797. The next prime is 564827. The reversal of 564804 is 408465.

It can be written as a sum of positive squares in 2 ways, for example, as 260100 + 304704 = 510^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564804.

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, 774 + ... + 1314.

2⁵⁶⁴⁸⁰⁴ 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 564804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739830).

564804 is an abundant number, since it is smaller than the sum of its proper divisors (914856).

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

564804 is a wasteful number, since it uses less digits than its factorization.

564804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 564804 is about 751.5344303490. The cubic root of 564804 is about 82.6607334740.

The spelling of 564804 in words is "five hundred sixty-four thousand, eight hundred four".