564200 has 96 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 172800.

The previous prime is 564197. The next prime is 564227. The reversal of 564200 is 2465.

564200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18185 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2⁵⁶⁴²⁰⁰ is an apocalyptic number.

564200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

564200 is the 434-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

564200 is an abundant number, since it is smaller than the sum of its proper divisors (1102360).

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

564200 is a wasteful number, since it uses less digits than its factorization.

564200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 564200 is about 751.1324783286. The cubic root of 564200 is about 82.6312572363.

Adding to 564200 its reverse (2465), we get a palindrome (566665).

The spelling of 564200 in words is "five hundred sixty-four thousand, two hundred".