444130304 has 88 divisors (see below), whose sum is σ = 971555328. Its totient is φ = 202014720.

The previous prime is 444130289. The next prime is 444130333. The reversal of 444130304 is 403031444.

It is a super-2 number, since 2×444130304² = 394503453862264832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444130304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539237 + ... + 540059.

Almost surely, 2^444130304 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 444130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485777664).

444130304 is an abundant number, since it is smaller than the sum of its proper divisors (527425024).

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

444130304 is a wasteful number, since it uses less digits than its factorization.

444130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 444130304 is about 21074.3992559693. The cubic root of 444130304 is about 762.9629854698.

Adding to 444130304 its reverse (403031444), we get a palindrome (847161748).

The spelling of 444130304 in words is "four hundred forty-four million, one hundred thirty thousand, three hundred four".