564929280 has 432 divisors, whose sum is σ = 2152332000. Its totient is φ = 136249344.

The previous prime is 564929273. The next prime is 564929297. The reversal of 564929280 is 82929465.

564929280 is a `hidden beast` number, since 564 + 9 + 2 + 9 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6347476 + ... + 6347564.

It is an arithmetic number, because the mean of its divisors is an integer number (4982250).

Almost surely, 2^564929280 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 564929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076166000).

564929280 is an abundant number, since it is smaller than the sum of its proper divisors (1587402720).

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

564929280 is a wasteful number, since it uses less digits than its factorization.

564929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 564929280 is about 23768.2409950758. The cubic root of 564929280 is about 826.6684472155.

The spelling of 564929280 in words is "five hundred sixty-four million, nine hundred twenty-nine thousand, two hundred eighty".