444675168 has 72 divisors (see below), whose sum is σ = 1445200848. Its totient is φ = 127049472.

The previous prime is 444675163. The next prime is 444675211. The reversal of 444675168 is 861576444.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444675163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108271 + ... + 112302.

It is an arithmetic number, because the mean of its divisors is an integer number (20072234).

Almost surely, 2^444675168 is an apocalyptic number.

444675168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444675168 is an abundant number, since it is smaller than the sum of its proper divisors (1000525680).

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

444675168 is a wasteful number, since it uses less digits than its factorization.

444675168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220596 (or 220585 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 444675168 is about 21087.3224473853. The cubic root of 444675168 is about 763.2748617942.

The spelling of 444675168 in words is "four hundred forty-four million, six hundred seventy-five thousand, one hundred sixty-eight".