444842112 has 128 divisors (see below), whose sum is σ = 1388358720. Its totient is φ = 124416000.

The previous prime is 444842093. The next prime is 444842113. The reversal of 444842112 is 211248444.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 444842112.

It is not an unprimeable number, because it can be changed into a prime (444842113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50862 + ... + 58962.

Almost surely, 2^444842112 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 444842112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694179360).

444842112 is an abundant number, since it is smaller than the sum of its proper divisors (943516608).

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

444842112 is a wasteful number, since it uses less digits than its factorization.

444842112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8130 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 444842112 is about 21091.2804732193. The cubic root of 444842112 is about 763.3703683757.

The spelling of 444842112 in words is "four hundred forty-four million, eight hundred forty-two thousand, one hundred twelve".