564157440 has 704 divisors, whose sum is σ = 2546795520. Its totient is φ = 115015680.

The previous prime is 564157411. The next prime is 564157459. The reversal of 564157440 is 44751465.

564157440 is a `hidden beast` number, since 5 + 6 + 41 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a junction number, because it is equal to n+sod(n) for n = 564157395 and 564157404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10644454 + ... + 10644506.

Almost surely, 2^564157440 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 564157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273397760).

564157440 is an abundant number, since it is smaller than the sum of its proper divisors (1982638080).

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

564157440 is a wasteful number, since it uses less digits than its factorization.

564157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 81 counting only the distinct ones).

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

The square root of 564157440 is about 23751.9986527450. The cubic root of 564157440 is about 826.2917944196.

The spelling of 564157440 in words is "five hundred sixty-four million, one hundred fifty-seven thousand, four hundred forty".