564104072 has 192 divisors, whose sum is σ = 1403568000. Its totient is φ = 210760704.

The previous prime is 564104059. The next prime is 564104083. The reversal of 564104072 is 270401465.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6338204 + ... + 6338292.

It is an arithmetic number, because the mean of its divisors is an integer number (7310250).

Almost surely, 2^564104072 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 564104072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701784000).

564104072 is an abundant number, since it is smaller than the sum of its proper divisors (839463928).

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

564104072 is a wasteful number, since it uses less digits than its factorization.

564104072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 564104072 is about 23750.8751838748. The cubic root of 564104072 is about 826.2657384951.

The spelling of 564104072 in words is "five hundred sixty-four million, one hundred four thousand, seventy-two".