444041304 has 64 divisors (see below), whose sum is σ = 1284787200. Its totient is φ = 125259264.

The previous prime is 444041293. The next prime is 444041371. The reversal of 444041304 is 403140444.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3457 + ... + 30000.

It is an arithmetic number, because the mean of its divisors is an integer number (20074800).

Almost surely, 2^444041304 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 444041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642393600).

444041304 is an abundant number, since it is smaller than the sum of its proper divisors (840745896).

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

444041304 is a wasteful number, since it uses less digits than its factorization.

444041304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33552 (or 33548 counting only the distinct ones).

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

The square root of 444041304 is about 21072.2875834590. The cubic root of 444041304 is about 762.9120182639.

Adding to 444041304 its reverse (403140444), we get a palindrome (847181748).

The spelling of 444041304 in words is "four hundred forty-four million, forty-one thousand, three hundred four".