444168 has 48 divisors (see below), whose sum is σ = 1248000. Its totient is φ = 142560.

The previous prime is 444167. The next prime is 444173. The reversal of 444168 is 861444.

444168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444168³ = 262883334429328896, which contains 333 as substring.

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 (444167) 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, 2133 + ... + 2331.

It is an arithmetic number, because the mean of its divisors is an integer number (26000).

2⁴⁴⁴¹⁶⁸ 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 444168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624000).

444168 is an abundant number, since it is smaller than the sum of its proper divisors (803832).

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

444168 is a wasteful number, since it uses less digits than its factorization.

444168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 444168 is about 666.4593010830. The cubic root of 444168 is about 76.2984570606.

The spelling of 444168 in words is "four hundred forty-four thousand, one hundred sixty-eight".