413985216 has 56 divisors (see below), whose sum is σ = 1096904080. Its totient is φ = 137797632.

The previous prime is 413985203. The next prime is 413985277. The reversal of 413985216 is 612589314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204240 + ... + 206256.

Almost surely, 2^413985216 is an apocalyptic number.

It is an amenable number.

413985216 is an abundant number, since it is smaller than the sum of its proper divisors (682918864).

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

413985216 is a wasteful number, since it uses less digits than its factorization.

413985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3091 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 413985216 is about 20346.6266491524. The cubic root of 413985216 is about 745.2951196286.

The spelling of 413985216 in words is "four hundred thirteen million, nine hundred eighty-five thousand, two hundred sixteen".