444204320 has 96 divisors (see below), whose sum is σ = 1203164928. Its totient is φ = 151815168.

The previous prime is 444204283. The next prime is 444204331. The reversal of 444204320 is 23402444.

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 15 ways as a sum of consecutive naturals, for example, 686237 + ... + 686883.

It is an arithmetic number, because the mean of its divisors is an integer number (12532968).

Almost surely, 2^444204320 is an apocalyptic number.

444204320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601582464).

444204320 is an abundant number, since it is smaller than the sum of its proper divisors (758960608).

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

444204320 is a wasteful number, since it uses less digits than its factorization.

444204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 444204320 is about 21076.1552471033. The cubic root of 444204320 is about 763.0053666742.

Adding to 444204320 its reverse (23402444), we get a palindrome (467606764).

The spelling of 444204320 in words is "four hundred forty-four million, two hundred four thousand, three hundred twenty".