564514272 has 168 divisors, whose sum is σ = 1904915376. Its totient is φ = 161243136.

The previous prime is 564514267. The next prime is 564514283. The reversal of 564514272 is 272415465.

It is a happy number.

564514272 is a `hidden beast` number, since 5 + 645 + 1 + 4 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 27 ways as a sum of consecutive naturals, for example, 161568 + ... + 165024.

It is an arithmetic number, because the mean of its divisors is an integer number (11338782).

Almost surely, 2^564514272 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 564514272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952457688).

564514272 is an abundant number, since it is smaller than the sum of its proper divisors (1340401104).

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

564514272 is an equidigital number, since it uses as much as digits as its factorization.

564514272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3469 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 564514272 is about 23759.5090858376. The cubic root of 564514272 is about 826.4659687372.

The spelling of 564514272 in words is "five hundred sixty-four million, five hundred fourteen thousand, two hundred seventy-two".