413132920 has 32 divisors (see below), whose sum is σ = 930787200. Its totient is φ = 165033088.

The previous prime is 413132917. The next prime is 413132959. The reversal of 413132920 is 29231314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25401 + ... + 38359.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 2^413132920 is an apocalyptic number.

413132920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413132920 is an abundant number, since it is smaller than the sum of its proper divisors (517654280).

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

413132920 is a wasteful number, since it uses less digits than its factorization.

413132920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13767 (or 13763 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 413132920 is about 20325.6714526237. The cubic root of 413132920 is about 744.7833070966.

The spelling of 413132920 in words is "four hundred thirteen million, one hundred thirty-two thousand, nine hundred twenty".