564362406 has 48 divisors (see below), whose sum is σ = 1261703664. Its totient is φ = 182181312.

The previous prime is 564362399. The next prime is 564362429. The reversal of 564362406 is 604263465.

564362406 is a `hidden beast` number, since 5 + 643 + 6 + 2 + 4 + 0 + 6 = 666.

564362406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

564362406 is a nontrivial binomial coefficient, being equal to C(33597, 2).

It is a super-2 number, since 2×564362406² = 637009850612217672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149316 + ... + 153048.

It is an arithmetic number, because the mean of its divisors is an integer number (26285493).

Almost surely, 2^564362406 is an apocalyptic number.

564362406 is the 33596-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564362406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630851832).

564362406 is an abundant number, since it is smaller than the sum of its proper divisors (697341258).

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

564362406 is a wasteful number, since it uses less digits than its factorization.

564362406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 564362406 is about 23756.3129715030. The cubic root of 564362406 is about 826.3918499512.

The spelling of 564362406 in words is "five hundred sixty-four million, three hundred sixty-two thousand, four hundred six".