564978240 has 280 divisors, whose sum is σ = 2044671552. Its totient is φ = 148055040.

The previous prime is 564978229. The next prime is 564978269. The reversal of 564978240 is 42879465.

It is a happy number.

564978240 is a `hidden beast` number, since 564 + 9 + 7 + 82 + 4 + 0 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 1840167 + ... + 1840473.

Almost surely, 2^564978240 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 564978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022335776).

564978240 is an abundant number, since it is smaller than the sum of its proper divisors (1479693312).

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

564978240 is a wasteful number, since it uses less digits than its factorization.

564978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 564978240 is about 23769.2709185621. The cubic root of 564978240 is about 826.6923277963.

The spelling of 564978240 in words is "five hundred sixty-four million, nine hundred seventy-eight thousand, two hundred forty".