564472320 has 160 divisors (see below), whose sum is σ = 1833150528. Its totient is φ = 148144128.

The previous prime is 564472289. The next prime is 564472361. The reversal of 564472320 is 23274465.

It is a tau number, because it is divible by the number of its divisors (160).

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, 514012 + ... + 515108.

Almost surely, 2^564472320 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 564472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916575264).

564472320 is an abundant number, since it is smaller than the sum of its proper divisors (1268678208).

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

564472320 is a wasteful number, since it uses less digits than its factorization.

564472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 564472320 is about 23758.6262229111. The cubic root of 564472320 is about 826.4454952311.

The spelling of 564472320 in words is "five hundred sixty-four million, four hundred seventy-two thousand, three hundred twenty".