444080 has 80 divisors (see below), whose sum is σ = 1291584. Its totient is φ = 138240.

The previous prime is 444079. The next prime is 444089. The reversal of 444080 is 80444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (444089) 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, 7250 + ... + 7310.

2⁴⁴⁴⁰⁸⁰ is an apocalyptic number.

444080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645792).

444080 is an abundant number, since it is smaller than the sum of its proper divisors (847504).

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

444080 is a wasteful number, since it uses less digits than its factorization.

444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 444080 is about 666.3932772770. The cubic root of 444080 is about 76.2934178955.

The spelling of 444080 in words is "four hundred forty-four thousand, eighty".