480444 has 12 divisors (see below), whose sum is σ = 1121064. Its totient is φ = 160144.

The previous prime is 480427. The next prime is 480449. The reversal of 480444 is 444084.

It is a tau number, because it is divible by the number of its divisors (12).

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 480444.

It is not an unprimeable number, because it can be changed into a prime (480449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20007 + ... + 20030.

It is an arithmetic number, because the mean of its divisors is an integer number (93422).

2⁴⁸⁰⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

480444 is an abundant number, since it is smaller than the sum of its proper divisors (640620).

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

480444 is a wasteful number, since it uses less digits than its factorization.

480444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40044 (or 40042 counting only the distinct ones).

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

The square root of 480444 is about 693.1406783619. The cubic root of 480444 is about 78.3214870673.

The spelling of 480444 in words is "four hundred eighty thousand, four hundred forty-four".