564205824 has 540 divisors, whose sum is σ = 2172494016. Its totient is φ = 142331904.

The previous prime is 564205819. The next prime is 564205871. The reversal of 564205824 is 428502465.

It is a happy number.

564205824 is a `hidden beast` number, since 5 + 642 + 0 + 5 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 24530677 + ... + 24530699.

Almost surely, 2^564205824 is an apocalyptic number.

564205824 is a gapful number since it is divisible by the number (54) 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 564205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086247008).

564205824 is an abundant number, since it is smaller than the sum of its proper divisors (1608288192).

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

564205824 is a wasteful number, since it uses less digits than its factorization.

564205824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 564205824 is about 23753.0171557215. The cubic root of 564205824 is about 826.3154155796.

The spelling of 564205824 in words is "five hundred sixty-four million, two hundred five thousand, eight hundred twenty-four".