444120168 has 64 divisors (see below), whose sum is σ = 1140384960. Its totient is φ = 144055296.

The previous prime is 444120163. The next prime is 444120169. The reversal of 444120168 is 861021444.

It is not an unprimeable number, because it can be changed into a prime (444120163) 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, 347146 + ... + 348422.

It is an arithmetic number, because the mean of its divisors is an integer number (17818515).

Almost surely, 2^444120168 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 444120168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570192480).

444120168 is an abundant number, since it is smaller than the sum of its proper divisors (696264792).

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

444120168 is a wasteful number, since it uses less digits than its factorization.

444120168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 444120168 is about 21074.1587732464. The cubic root of 444120168 is about 762.9571812786.

The spelling of 444120168 in words is "four hundred forty-four million, one hundred twenty thousand, one hundred sixty-eight".