564254880 has 192 divisors, whose sum is σ = 2065367808. Its totient is φ = 126812160.

The previous prime is 564254879. The next prime is 564254903. The reversal of 564254880 is 88452465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203584 + ... + 206336.

It is an arithmetic number, because the mean of its divisors is an integer number (10757124).

Almost surely, 2^564254880 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 564254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032683904).

564254880 is an abundant number, since it is smaller than the sum of its proper divisors (1501112928).

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

564254880 is a wasteful number, since it uses less digits than its factorization.

564254880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 564254880 is about 23754.0497599883. The cubic root of 564254880 is about 826.3393634325.

The spelling of 564254880 in words is "five hundred sixty-four million, two hundred fifty-four thousand, eight hundred eighty".