444404224 has 80 divisors (see below), whose sum is σ = 1019890080. Its totient is φ = 191324160.

The previous prime is 444404203. The next prime is 444404231. The reversal of 444404224 is 422404444.

It is a super-2 number, since 2×444404224² = 394990228618084352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444404192 and 444404201.

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, 104932 + ... + 109084.

It is an arithmetic number, because the mean of its divisors is an integer number (12748626).

Almost surely, 2^444404224 is an apocalyptic number.

444404224 is a gapful number since it is divisible by the number (44) 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 444404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509945040).

444404224 is an abundant number, since it is smaller than the sum of its proper divisors (575485856).

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

444404224 is a wasteful number, since it uses less digits than its factorization.

444404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4201 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 444404224 is about 21080.8971346098. The cubic root of 444404224 is about 763.1198072166.

Adding to 444404224 its reverse (422404444), we get a palindrome (866808668).

The spelling of 444404224 in words is "four hundred forty-four million, four hundred four thousand, two hundred twenty-four".