564001280 has 160 divisors (see below), whose sum is σ = 1431872640. Its totient is φ = 212746240.

The previous prime is 564001261. The next prime is 564001297. The reversal of 564001280 is 82100465.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5270987 + ... + 5271093.

It is an arithmetic number, because the mean of its divisors is an integer number (8949204).

Almost surely, 2^564001280 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 564001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715936320).

564001280 is an abundant number, since it is smaller than the sum of its proper divisors (867871360).

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

564001280 is a wasteful number, since it uses less digits than its factorization.

564001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 564001280 is about 23748.7111229220. The cubic root of 564001280 is about 826.2155475986.

The spelling of 564001280 in words is "five hundred sixty-four million, one thousand, two hundred eighty".