564225984 has 126 divisors (see below), whose sum is σ = 1881387144. Its totient is φ = 161199360.

The previous prime is 564225973. The next prime is 564225989. The reversal of 564225984 is 489522465.

564225984 is a `hidden beast` number, since 56 + 4 + 2 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×564225984² = 636701922041536512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564225989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18229 + ... + 38219.

It is an arithmetic number, because the mean of its divisors is an integer number (14931644).

Almost surely, 2^564225984 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 564225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940693572).

564225984 is an abundant number, since it is smaller than the sum of its proper divisors (1317161160).

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

564225984 is a wasteful number, since it uses less digits than its factorization.

564225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20023 (or 20003 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 564225984 is about 23753.4415190726. The cubic root of 564225984 is about 826.3252573309.

It can be divided in two parts, 5642 and 25984, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 564225984 in words is "five hundred sixty-four million, two hundred twenty-five thousand, nine hundred eighty-four".