413812224 has 120 divisors (see below), whose sum is σ = 1365009360. Its totient is φ = 118222848.

The previous prime is 413812213. The next prime is 413812237. The reversal of 413812224 is 422218314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25842 + ... + 38670.

It is an arithmetic number, because the mean of its divisors is an integer number (11375078).

Almost surely, 2^413812224 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 413812224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682504680).

413812224 is an abundant number, since it is smaller than the sum of its proper divisors (951197136).

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

413812224 is a wasteful number, since it uses less digits than its factorization.

413812224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12860 (or 12841 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 413812224 is about 20342.3750825709. The cubic root of 413812224 is about 745.1912930094.

The spelling of 413812224 in words is "four hundred thirteen million, eight hundred twelve thousand, two hundred twenty-four".