444113304 has 64 divisors (see below), whose sum is σ = 1178634240. Its totient is φ = 138969600.

The previous prime is 444113297. The next prime is 444113333. The reversal of 444113304 is 403311444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 187729 + ... + 190079.

It is an arithmetic number, because the mean of its divisors is an integer number (18416160).

Almost surely, 2^444113304 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 444113304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589317120).

444113304 is an abundant number, since it is smaller than the sum of its proper divisors (734520936).

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

444113304 is a wasteful number, since it uses less digits than its factorization.

444113304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 444113304 is about 21073.9959191417. The cubic root of 444113304 is about 762.9532506869.

Adding to 444113304 its reverse (403311444), we get a palindrome (847424748).

The spelling of 444113304 in words is "four hundred forty-four million, one hundred thirteen thousand, three hundred four".