564402384 has 320 divisors, whose sum is σ = 2041536000. Its totient is φ = 148345344.

The previous prime is 564402373. The next prime is 564402389. The reversal of 564402384 is 483204465.

564402384 is a `hidden beast` number, since 5 + 644 + 0 + 2 + 3 + 8 + 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 not an unprimeable number, because it can be changed into a prime (564402389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1926142 + ... + 1926434.

It is an arithmetic number, because the mean of its divisors is an integer number (6379800).

Almost surely, 2^564402384 is an apocalyptic number.

564402384 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 564402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020768000).

564402384 is an abundant number, since it is smaller than the sum of its proper divisors (1477133616).

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

564402384 is a wasteful number, since it uses less digits than its factorization.

564402384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 564402384 is about 23757.1543750509. The cubic root of 564402384 is about 826.4113626573.

The spelling of 564402384 in words is "five hundred sixty-four million, four hundred two thousand, three hundred eighty-four".