564461520 has 160 divisors (see below), whose sum is σ = 2007752448. Its totient is φ = 128507904.

The previous prime is 564461507. The next prime is 564461531. The reversal of 564461520 is 25164465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565662 + ... + 566658.

Almost surely, 2^564461520 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 564461520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003876224).

564461520 is an abundant number, since it is smaller than the sum of its proper divisors (1443290928).

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

564461520 is a wasteful number, since it uses less digits than its factorization.

564461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 564461520 is about 23758.3989359553. The cubic root of 564461520 is about 826.4402244274.

The spelling of 564461520 in words is "five hundred sixty-four million, four hundred sixty-one thousand, five hundred twenty".