320480 has 24 divisors (see below), whose sum is σ = 757512. Its totient is φ = 128128.

The previous prime is 320477. The next prime is 320483. The reversal of 320480 is 84023.

It is an interprime number because it is at equal distance from previous prime (320477) and next prime (320483).

320480 is a modest number, since divided by 480 gives 320 as remainder.

It is a plaindrome in base 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 320480.

It is not an unprimeable number, because it can be changed into a prime (320483) 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, 842 + ... + 1161.

It is an arithmetic number, because the mean of its divisors is an integer number (31563).

2³²⁰⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

320480 is an abundant number, since it is smaller than the sum of its proper divisors (437032).

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

320480 is a wasteful number, since it uses less digits than its factorization.

320480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 320480 is about 566.1095300381. The cubic root of 320480 is about 68.4332203005.

The spelling of 320480 in words is "three hundred twenty thousand, four hundred eighty".