564130480 has 80 divisors (see below), whose sum is σ = 1350476064. Its totient is φ = 219023360.

The previous prime is 564130477. The next prime is 564130507. The reversal of 564130480 is 84031465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960747 + ... + 961333.

Almost surely, 2^564130480 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 564130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675238032).

564130480 is an abundant number, since it is smaller than the sum of its proper divisors (786345584).

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

564130480 is a wasteful number, since it uses less digits than its factorization.

564130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 564130480 is about 23751.4311147771. The cubic root of 564130480 is about 826.2786319109.

It can be divided in two parts, 564 and 130480, that added together give a square (131044 = 362²).

The spelling of 564130480 in words is "five hundred sixty-four million, one hundred thirty thousand, four hundred eighty".