444244224 has 72 divisors (see below), whose sum is σ = 1186174080. Its totient is φ = 147601408.

The previous prime is 444244211. The next prime is 444244249. The reversal of 444244224 is 422442444.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444244191 and 444244200.

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, 298009 + ... + 299495.

It is an arithmetic number, because the mean of its divisors is an integer number (16474640).

Almost surely, 2^444244224 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 444244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593087040).

444244224 is an abundant number, since it is smaller than the sum of its proper divisors (741929856).

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

444244224 is a wasteful number, since it uses less digits than its factorization.

444244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1881 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 444244224 is about 21077.1018880680. The cubic root of 444244224 is about 763.0282135588.

Adding to 444244224 its reverse (422442444), we get a palindrome (866686668).

The spelling of 444244224 in words is "four hundred forty-four million, two hundred forty-four thousand, two hundred twenty-four".