480880 has 20 divisors (see below), whose sum is σ = 1118232. Its totient is φ = 192320.

The previous prime is 480853. The next prime is 480881. The reversal of 480880 is 88084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×480880³ = 333604115452416000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2926 + ... + 3085.

2⁴⁸⁰⁸⁸⁰ is an apocalyptic number.

480880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480880 is an abundant number, since it is smaller than the sum of its proper divisors (637352).

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

480880 is a wasteful number, since it uses less digits than its factorization.

480880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6024 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 480880 is about 693.4551175094. The cubic root of 480880 is about 78.3451719947.

The spelling of 480880 in words is "four hundred eighty thousand, eight hundred eighty".