564989040 has 640 divisors, whose sum is σ = 2514124800. Its totient is φ = 113218560.

The previous prime is 564989023. The next prime is 564989053. The reversal of 564989040 is 40989465.

It is a happy number.

564989040 is a `hidden beast` number, since 564 + 9 + 89 + 0 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 7151721 + ... + 7151799.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2^564989040 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 564989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257062400).

564989040 is an abundant number, since it is smaller than the sum of its proper divisors (1949135760).

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

564989040 is a wasteful number, since it uses less digits than its factorization.

564989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

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

The square root of 564989040 is about 23769.4981015586. The cubic root of 564989040 is about 826.6975953858.

The spelling of 564989040 in words is "five hundred sixty-four million, nine hundred eighty-nine thousand, forty".