444031168 has 112 divisors (see below), whose sum is σ = 1040221440. Its totient is φ = 184144896.

The previous prime is 444031157. The next prime is 444031171. The reversal of 444031168 is 861130444.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828146 + ... + 2828302.

Almost surely, 2^444031168 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 444031168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520110720).

444031168 is an abundant number, since it is smaller than the sum of its proper divisors (596190272).

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

444031168 is a wasteful number, since it uses less digits than its factorization.

444031168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 444031168 is about 21072.0470766369. The cubic root of 444031168 is about 762.9062132971.

The spelling of 444031168 in words is "four hundred forty-four million, thirty-one thousand, one hundred sixty-eight".