564320240 has 80 divisors (see below), whose sum is σ = 1435595616. Its totient is φ = 204595200.

The previous prime is 564320231. The next prime is 564320303. The reversal of 564320240 is 42023465.

564320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380300 + ... + 381780.

Almost surely, 2^564320240 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 564320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717797808).

564320240 is an abundant number, since it is smaller than the sum of its proper divisors (871275376).

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

564320240 is a wasteful number, since it uses less digits than its factorization.

564320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 564320240 is about 23755.4254855601. The cubic root of 564320240 is about 826.3712683141.

The spelling of 564320240 in words is "five hundred sixty-four million, three hundred twenty thousand, two hundred forty".