564417072 has 120 divisors (see below), whose sum is σ = 1649269440. Its totient is φ = 186857280.

The previous prime is 564417047. The next prime is 564417089. The reversal of 564417072 is 270714465.

564417072 is a `hidden beast` number, since 5 + 644 + 1 + 7 + 0 + 7 + 2 = 666.

It is a super-3 number, since 3×564417072³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 695547 + ... + 696357.

It is an arithmetic number, because the mean of its divisors is an integer number (13743912).

Almost surely, 2^564417072 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 564417072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824634720).

564417072 is an abundant number, since it is smaller than the sum of its proper divisors (1084852368).

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

564417072 is a wasteful number, since it uses less digits than its factorization.

564417072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 564417072 is about 23757.4635009716. The cubic root of 564417072 is about 826.4185314345.

The spelling of 564417072 in words is "five hundred sixty-four million, four hundred seventeen thousand, seventy-two".