564174072 has 192 divisors, whose sum is σ = 1976083200. Its totient is φ = 146499840.

The previous prime is 564174071. The next prime is 564174119. The reversal of 564174072 is 270471465.

564174072 is a `hidden beast` number, since 5 + 641 + 7 + 4 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×564174072² = 636584767034122368, which contains 22 as substring.

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 (564174071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147804 + ... + 151572.

It is an arithmetic number, because the mean of its divisors is an integer number (10292100).

Almost surely, 2^564174072 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 564174072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988041600).

564174072 is an abundant number, since it is smaller than the sum of its proper divisors (1411909128).

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

564174072 is a wasteful number, since it uses less digits than its factorization.

564174072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3792 counting only the distinct ones).

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

The square root of 564174072 is about 23752.3487680692. The cubic root of 564174072 is about 826.2999143457.

The spelling of 564174072 in words is "five hundred sixty-four million, one hundred seventy-four thousand, seventy-two".