415631216 has 80 divisors (see below), whose sum is σ = 1081264128. Its totient is φ = 149472000.

The previous prime is 415631207. The next prime is 415631233. The reversal of 415631216 is 612136514.

It is a happy number.

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, 3041 + ... + 28991.

Almost surely, 2^415631216 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 415631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540632064).

415631216 is an abundant number, since it is smaller than the sum of its proper divisors (665632912).

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

415631216 is a wasteful number, since it uses less digits than its factorization.

415631216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25990 (or 25984 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 415631216 is about 20387.0354882705. The cubic root of 415631216 is about 746.2815747372.

The spelling of 415631216 in words is "four hundred fifteen million, six hundred thirty-one thousand, two hundred sixteen".