564800 has 42 divisors (see below), whose sum is σ = 1393698. Its totient is φ = 225280.

The previous prime is 564797. The next prime is 564827. The reversal of 564800 is 8465.

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 541696 = 152^2 + 736^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1424 + ... + 1776.

2⁵⁶⁴⁸⁰⁰ is an apocalyptic number.

564800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696849).

564800 is an abundant number, since it is smaller than the sum of its proper divisors (828898).

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

564800 is a wasteful number, since it uses less digits than its factorization.

564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 564800 is about 751.5317691222. The cubic root of 564800 is about 82.6605383363.

The spelling of 564800 in words is "five hundred sixty-four thousand, eight hundred".