564007460 has 24 divisors (see below), whose sum is σ = 1184862840. Its totient is φ = 225517824.

The previous prime is 564007447. The next prime is 564007463. The reversal of 564007460 is 64700465.

It can be written as a sum of positive squares in 4 ways, for example, as 290634304 + 273373156 = 17048^2 + 16534^2 .

It is not an unprimeable number, because it can be changed into a prime (564007463) 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 7 ways as a sum of consecutive naturals, for example, 96296 + ... + 101984.

It is an arithmetic number, because the mean of its divisors is an integer number (49369285).

Almost surely, 2^564007460 is an apocalyptic number.

It is an amenable number.

564007460 is an abundant number, since it is smaller than the sum of its proper divisors (620855380).

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

564007460 is a wasteful number, since it uses less digits than its factorization.

564007460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 564007460 is about 23748.8412348898. The cubic root of 564007460 is about 826.2185653184.

The spelling of 564007460 in words is "five hundred sixty-four million, seven thousand, four hundred sixty".