413288920 has 32 divisors (see below), whose sum is σ = 1014437520. Its totient is φ = 150286720.

The previous prime is 413288879. The next prime is 413288933. The reversal of 413288920 is 29882314.

It is a self number, because there is not a number n which added to its sum of digits gives 413288920.

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, 469207 + ... + 470086.

Almost surely, 2^413288920 is an apocalyptic number.

413288920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413288920 is an abundant number, since it is smaller than the sum of its proper divisors (601148600).

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

413288920 is a wasteful number, since it uses less digits than its factorization.

413288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939315 (or 939311 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 413288920 is about 20329.5086020297. The cubic root of 413288920 is about 744.8770392986.

The spelling of 413288920 in words is "four hundred thirteen million, two hundred eighty-eight thousand, nine hundred twenty".