564245040 has 80 divisors (see below), whose sum is σ = 1765288800. Its totient is φ = 149078016.

The previous prime is 564245029. The next prime is 564245041. The reversal of 564245040 is 40542465.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 564244989 and 564245007.

It is not an unprimeable number, because it can be changed into a prime (564245041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15376 + ... + 36944.

It is an arithmetic number, because the mean of its divisors is an integer number (22066110).

Almost surely, 2^564245040 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 564245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882644400).

564245040 is an abundant number, since it is smaller than the sum of its proper divisors (1201043760).

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

564245040 is a wasteful number, since it uses less digits than its factorization.

564245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21694 (or 21688 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 564245040 is about 23753.8426365083. The cubic root of 564245040 is about 826.3345599138.

The spelling of 564245040 in words is "five hundred sixty-four million, two hundred forty-five thousand, forty".