413664336 has 30 divisors (see below), whose sum is σ = 1157686010. Its totient is φ = 137888064.

The previous prime is 413664319. The next prime is 413664353. The reversal of 413664336 is 633466314.

413664336 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 643 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (413664319) and next prime (413664353).

It can be written as a sum of positive squares in only one way, i.e., 364046400 + 49617936 = 19080^2 + 7044^2 .

It is a super-2 number, since 2×413664336² = 342236365756641792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 413664336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1436191 + ... + 1436478.

Almost surely, 2^413664336 is an apocalyptic number.

It is an amenable number.

413664336 is an abundant number, since it is smaller than the sum of its proper divisors (744021674).

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

413664336 is a wasteful number, since it uses less digits than its factorization.

413664336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872683 (or 2872674 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 413664336 is about 20338.7397839689. The cubic root of 413664336 is about 745.1025104050.

The spelling of 413664336 in words is "four hundred thirteen million, six hundred sixty-four thousand, three hundred thirty-six".