564456 has 32 divisors (see below), whose sum is σ = 1461600. Its totient is φ = 181440.

The previous prime is 564449. The next prime is 564457. The reversal of 564456 is 654465.

It is a super-2 number, since 2×564456² = 637221151872, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (564457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291 + ... + 1101.

It is an arithmetic number, because the mean of its divisors is an integer number (45675).

2⁵⁶⁴⁴⁵⁶ 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 564456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730800).

564456 is an abundant number, since it is smaller than the sum of its proper divisors (897144).

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

564456 is a wasteful number, since it uses less digits than its factorization.

564456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 564456 is about 751.3028683560. The cubic root of 564456 is about 82.6437530435.

Subtracting 564456 from its reverse (654465), we obtain a palindrome (90009).

The spelling of 564456 in words is "five hundred sixty-four thousand, four hundred fifty-six".