413220444 has 48 divisors (see below), whose sum is σ = 1186687488. Its totient is φ = 108980928.

The previous prime is 413220443. The next prime is 413220463. The reversal of 413220444 is 444022314.

It is a happy number.

It is a super-2 number, since 2×413220444² = 341502270679114272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413220443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188112 + ... + 190295.

It is an arithmetic number, because the mean of its divisors is an integer number (24722656).

Almost surely, 2^413220444 is an apocalyptic number.

It is an amenable number.

413220444 is an abundant number, since it is smaller than the sum of its proper divisors (773467044).

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

413220444 is a wasteful number, since it uses less digits than its factorization.

413220444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378434 (or 378432 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 413220444 is about 20327.8243794067. The cubic root of 413220444 is about 744.8358985736.

Adding to 413220444 its reverse (444022314), we get a palindrome (857242758).

The spelling of 413220444 in words is "four hundred thirteen million, two hundred twenty thousand, four hundred forty-four".