444034304 has 72 divisors (see below), whose sum is σ = 1020364800. Its totient is φ = 188909568.

The previous prime is 444034303. The next prime is 444034307. The reversal of 444034304 is 403430444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444034301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266177 + ... + 267839.

Almost surely, 2^444034304 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 444034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510182400).

444034304 is an abundant number, since it is smaller than the sum of its proper divisors (576330496).

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

444034304 is a wasteful number, since it uses less digits than its factorization.

444034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 444034304 is about 21072.1214878806. The cubic root of 444034304 is about 762.9080093184.

Adding to 444034304 its reverse (403430444), we get a palindrome (847464748).

The spelling of 444034304 in words is "four hundred forty-four million, thirty-four thousand, three hundred four".