415008872 has 64 divisors (see below), whose sum is σ = 852318720. Its totient is φ = 188863488.

The previous prime is 415008863. The next prime is 415008901. The reversal of 415008872 is 278800514.

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, 319328 + ... + 320624.

It is an arithmetic number, because the mean of its divisors is an integer number (13317480).

Almost surely, 2^415008872 is an apocalyptic number.

It is an amenable number.

415008872 is an abundant number, since it is smaller than the sum of its proper divisors (437309848).

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

415008872 is a wasteful number, since it uses less digits than its factorization.

415008872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 415008872 is about 20371.7665409753. The cubic root of 415008872 is about 745.9089079382.

The spelling of 415008872 in words is "four hundred fifteen million, eight thousand, eight hundred seventy-two".