564036480 has 256 divisors, whose sum is σ = 2283494400. Its totient is φ = 128894976.

The previous prime is 564036479. The next prime is 564036493. The reversal of 564036480 is 84630465.

564036480 is a `hidden beast` number, since 5 + 6 + 4 + 0 + 3 + 648 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 118629 + ... + 123291.

It is an arithmetic number, because the mean of its divisors is an integer number (8919900).

Almost surely, 2^564036480 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 564036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141747200).

564036480 is an abundant number, since it is smaller than the sum of its proper divisors (1719457920).

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

564036480 is a wasteful number, since it uses less digits than its factorization.

564036480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4698 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 564036480 is about 23749.4522042088. The cubic root of 564036480 is about 826.2327356106.

The spelling of 564036480 in words is "five hundred sixty-four million, thirty-six thousand, four hundred eighty".