413444412 has 120 divisors (see below), whose sum is σ = 1140400800. Its totient is φ = 130356864.

The previous prime is 413444411. The next prime is 413444419. The reversal of 413444412 is 214444314.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413444411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 812014 + ... + 812522.

It is an arithmetic number, because the mean of its divisors is an integer number (9503340).

Almost surely, 2^413444412 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 413444412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570200400).

413444412 is an abundant number, since it is smaller than the sum of its proper divisors (726956388).

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

413444412 is a wasteful number, since it uses less digits than its factorization.

413444412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 413444412 is about 20333.3325355191. The cubic root of 413444412 is about 744.9704428014.

Adding to 413444412 its reverse (214444314), we get a palindrome (627888726).

The spelling of 413444412 in words is "four hundred thirteen million, four hundred forty-four thousand, four hundred twelve".