407938872 has 64 divisors (see below), whose sum is σ = 1120780800. Its totient is φ = 122704640.

The previous prime is 407938841. The next prime is 407938907. The reversal of 407938872 is 278839704.

It is a congruent number.

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, 30529 + ... + 41807.

It is an arithmetic number, because the mean of its divisors is an integer number (17512200).

Almost surely, 2^407938872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407938872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560390400).

407938872 is an abundant number, since it is smaller than the sum of its proper divisors (712841928).

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

407938872 is a wasteful number, since it uses less digits than its factorization.

407938872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11436 (or 11432 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 407938872 is about 20197.4966765686. The cubic root of 407938872 is about 741.6489113341.

The spelling of 407938872 in words is "four hundred seven million, nine hundred thirty-eight thousand, eight hundred seventy-two".