444612168 has 384 divisors, whose sum is σ = 1677312000. Its totient is φ = 102643200.

The previous prime is 444612163. The next prime is 444612187. The reversal of 444612168 is 861216444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (444612163) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2234133 + ... + 2234331.

It is an arithmetic number, because the mean of its divisors is an integer number (4368000).

Almost surely, 2^444612168 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 444612168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656000).

444612168 is an abundant number, since it is smaller than the sum of its proper divisors (1232699832).

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

444612168 is a wasteful number, since it uses less digits than its factorization.

444612168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 266 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 444612168 is about 21085.8286059619. The cubic root of 444612168 is about 763.2388140670.

The spelling of 444612168 in words is "four hundred forty-four million, six hundred twelve thousand, one hundred sixty-eight".