413676224 has 112 divisors (see below), whose sum is σ = 924190176. Its totient is φ = 182476800.

The previous prime is 413676217. The next prime is 413676253. The reversal of 413676224 is 422676314.

It is a super-2 number, since 2×413676224² = 342256036605796352, which contains 22 as substring.

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, 2285414 + ... + 2285594.

It is an arithmetic number, because the mean of its divisors is an integer number (8251698).

Almost surely, 2^413676224 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 413676224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462095088).

413676224 is an abundant number, since it is smaller than the sum of its proper divisors (510513952).

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

413676224 is a wasteful number, since it uses less digits than its factorization.

413676224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 413676224 is about 20339.0320320314. The cubic root of 413676224 is about 745.1096479906.

The spelling of 413676224 in words is "four hundred thirteen million, six hundred seventy-six thousand, two hundred twenty-four".