480980 has 12 divisors (see below), whose sum is σ = 1010100. Its totient is φ = 192384.

The previous prime is 480979. The next prime is 480989. The reversal of 480980 is 89084.

It can be written as a sum of positive squares in 2 ways, for example, as 204304 + 276676 = 452^2 + 526^2 .

It is a super-3 number, since 3×480980³ = 333812279751576000, which contains 333 as substring.

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 480980.

It is not an unprimeable number, because it can be changed into a prime (480989) 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, 12005 + ... + 12044.

It is an arithmetic number, because the mean of its divisors is an integer number (84175).

2⁴⁸⁰⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

480980 is an abundant number, since it is smaller than the sum of its proper divisors (529120).

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

480980 is a wasteful number, since it uses less digits than its factorization.

480980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24058 (or 24056 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 480980 is about 693.5272164811. The cubic root of 480980 is about 78.3506022990.

The spelling of 480980 in words is "four hundred eighty thousand, nine hundred eighty".