444912 has 80 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 126720.

The previous prime is 444901. The next prime is 444929. The reversal of 444912 is 219444.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1152) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444912.

It is an unprimeable number.

444912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14337 + ... + 14367.

2⁴⁴⁴⁹¹² 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 444912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

444912 is an abundant number, since it is smaller than the sum of its proper divisors (888336).

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

444912 is a wasteful number, since it uses less digits than its factorization.

444912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 72 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 444912 is about 667.0172411565. The cubic root of 444912 is about 76.3410343334.

The spelling of 444912 in words is "four hundred forty-four thousand, nine hundred twelve".