444433312 has 96 divisors (see below), whose sum is σ = 961813440. Its totient is φ = 201338880.

The previous prime is 444433303. The next prime is 444433321. The reversal of 444433312 is 213334444.

It is an interprime number because it is at equal distance from previous prime (444433303) and next prime (444433321).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957743 + ... + 1957969.

It is an arithmetic number, because the mean of its divisors is an integer number (10018890).

Almost surely, 2^444433312 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 444433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480906720).

444433312 is an abundant number, since it is smaller than the sum of its proper divisors (517380128).

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

444433312 is a wasteful number, since it uses less digits than its factorization.

444433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 13824, while the sum is 28.

The square root of 444433312 is about 21081.5870370331. The cubic root of 444433312 is about 763.1364565818.

Adding to 444433312 its reverse (213334444), we get a palindrome (657767756).

The spelling of 444433312 in words is "four hundred forty-four million, four hundred thirty-three thousand, three hundred twelve".