413212224 has 56 divisors (see below), whose sum is σ = 1095816960. Its totient is φ = 137419264.

The previous prime is 413212201. The next prime is 413212229. The reversal of 413212224 is 422212314.

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 413212224.

It is not an unprimeable number, because it can be changed into a prime (413212229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89722 + ... + 94214.

It is an arithmetic number, because the mean of its divisors is an integer number (19568160).

Almost surely, 2^413212224 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 413212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547908480).

413212224 is an abundant number, since it is smaller than the sum of its proper divisors (682604736).

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

413212224 is a wasteful number, since it uses less digits than its factorization.

413212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4977 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 413212224 is about 20327.6221924749. The cubic root of 413212224 is about 744.8309596508.

Adding to 413212224 its reverse (422212314), we get a palindrome (835424538).

The spelling of 413212224 in words is "four hundred thirteen million, two hundred twelve thousand, two hundred twenty-four".