444480 has 56 divisors (see below), whose sum is σ = 1414272. Its totient is φ = 118272.

The previous prime is 444473. The next prime is 444487. The reversal of 444480 is 84444.

444480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (444473) and next prime (444487).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 444480.

It is not an unprimeable number, because it can be changed into a prime (444487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 1191.

2⁴⁴⁴⁴⁸⁰ is an apocalyptic number.

444480 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 444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707136).

444480 is an abundant number, since it is smaller than the sum of its proper divisors (969792).

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

444480 is a wasteful number, since it uses less digits than its factorization.

444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 444480 is about 666.6933328000. The cubic root of 444480 is about 76.3163178302.

The spelling of 444480 in words is "four hundred forty-four thousand, four hundred eighty".