413631216 has 120 divisors (see below), whose sum is σ = 1290341520. Its totient is φ = 122923008.

The previous prime is 413631209. The next prime is 413631223. The reversal of 413631216 is 612136314.

413631216 is a `hidden beast` number, since 4 + 1 + 3 + 631 + 21 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (413631209) and next prime (413631223).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 413631216.

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 23 ways as a sum of consecutive naturals, for example, 42066 + ... + 50958.

It is an arithmetic number, because the mean of its divisors is an integer number (10752846).

Almost surely, 2^413631216 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 413631216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645170760).

413631216 is an abundant number, since it is smaller than the sum of its proper divisors (876710304).

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

413631216 is a wasteful number, since it uses less digits than its factorization.

413631216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8934 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 413631216 is about 20337.9255579324. The cubic root of 413631216 is about 745.0826243512.

The spelling of 413631216 in words is "four hundred thirteen million, six hundred thirty-one thousand, two hundred sixteen".