409331364 has 48 divisors (see below), whose sum is σ = 1082719680. Its totient is φ = 119318400.

The previous prime is 409331327. The next prime is 409331393. The reversal of 409331364 is 463133904.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66087 + ... + 72014.

It is an arithmetic number, because the mean of its divisors is an integer number (22556660).

Almost surely, 2^409331364 is an apocalyptic number.

It is an amenable number.

409331364 is an abundant number, since it is smaller than the sum of its proper divisors (673388316).

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

409331364 is a wasteful number, since it uses less digits than its factorization.

409331364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138140 (or 138138 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 409331364 is about 20231.9392051281. The cubic root of 409331364 is about 742.4918213794.

The spelling of 409331364 in words is "four hundred nine million, three hundred thirty-one thousand, three hundred sixty-four".