444371304 has 96 divisors (see below), whose sum is σ = 1217462400. Its totient is φ = 135083520.

The previous prime is 444371273. The next prime is 444371311. The reversal of 444371304 is 403173444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360369 + ... + 361599.

It is an arithmetic number, because the mean of its divisors is an integer number (12681900).

Almost surely, 2^444371304 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 444371304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608731200).

444371304 is an abundant number, since it is smaller than the sum of its proper divisors (773091096).

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

444371304 is a wasteful number, since it uses less digits than its factorization.

444371304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 444371304 is about 21080.1163184647. The cubic root of 444371304 is about 763.1009636181.

The spelling of 444371304 in words is "four hundred forty-four million, three hundred seventy-one thousand, three hundred four".