482880 has 56 divisors (see below), whose sum is σ = 1536192. Its totient is φ = 128512.

The previous prime is 482873. The next prime is 482897. The reversal of 482880 is 88284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

482880 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 7 ways as a sum of consecutive naturals, for example, 709 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁴⁸²⁸⁸⁰ is an apocalyptic number.

482880 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 482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096).

482880 is an abundant number, since it is smaller than the sum of its proper divisors (1053312).

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

482880 is a wasteful number, since it uses less digits than its factorization.

482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 482880 is about 694.8956756233. The cubic root of 482880 is about 78.4536353794.

The spelling of 482880 in words is "four hundred eighty-two thousand, eight hundred eighty".