406364634 has 96 divisors (see below), whose sum is σ = 1033583040. Its totient is φ = 117621504.

The previous prime is 406364627. The next prime is 406364657. The reversal of 406364634 is 436463604.

406364634 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 646 + 3 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201877 + ... + 203879.

It is an arithmetic number, because the mean of its divisors is an integer number (10766490).

Almost surely, 2^406364634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406364634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516791520).

406364634 is an abundant number, since it is smaller than the sum of its proper divisors (627218406).

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

406364634 is a wasteful number, since it uses less digits than its factorization.

406364634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 406364634 is about 20158.4878897203. The cubic root of 406364634 is about 740.6936726581.

The spelling of 406364634 in words is "four hundred six million, three hundred sixty-four thousand, six hundred thirty-four".