480840 has 32 divisors (see below), whose sum is σ = 1442880. Its totient is φ = 128192.

The previous prime is 480839. The next prime is 480853. The reversal of 480840 is 48084.

It is a super-3 number, since 3×480840³ = 333520873970112000, which contains 333 as substring.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 480840.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (45090).

2⁴⁸⁰⁸⁴⁰ is an apocalyptic number.

480840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480840 is an abundant number, since it is smaller than the sum of its proper divisors (962040).

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

480840 is a wasteful number, since it uses less digits than its factorization.

480840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4021 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 480840 is about 693.4262758217. The cubic root of 480840 is about 78.3429996622.

The spelling of 480840 in words is "four hundred eighty thousand, eight hundred forty".