564506406 has 48 divisors (see below), whose sum is σ = 1242377136. Its totient is φ = 185220288.

The previous prime is 564506389. The next prime is 564506407. The reversal of 564506406 is 604605465.

It is a happy number.

564506406 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 0 + 640 + 6 = 666.

564506406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564506407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556756 + ... + 557768.

It is an arithmetic number, because the mean of its divisors is an integer number (25882857).

Almost surely, 2^564506406 is an apocalyptic number.

564506406 is an abundant number, since it is smaller than the sum of its proper divisors (677870730).

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

564506406 is a wasteful number, since it uses less digits than its factorization.

564506406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 564506406 is about 23759.3435515378. The cubic root of 564506406 is about 826.4621300321.

The spelling of 564506406 in words is "five hundred sixty-four million, five hundred six thousand, four hundred six".