564298240 has 160 divisors (see below), whose sum is σ = 1529098560. Its totient is φ = 197836800.

The previous prime is 564298223. The next prime is 564298277. The reversal of 564298240 is 42892465.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 564298193 and 564298202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816295 + ... + 816985.

It is an arithmetic number, because the mean of its divisors is an integer number (9556866).

Almost surely, 2^564298240 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 564298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764549280).

564298240 is an abundant number, since it is smaller than the sum of its proper divisors (964800320).

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

564298240 is a wasteful number, since it uses less digits than its factorization.

564298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 564298240 is about 23754.9624289326. The cubic root of 564298240 is about 826.3605294919.

The spelling of 564298240 in words is "five hundred sixty-four million, two hundred ninety-eight thousand, two hundred forty".