480990 has 16 divisors (see below), whose sum is σ = 1154448. Its totient is φ = 128256.

The previous prime is 480989. The next prime is 481001. The reversal of 480990 is 99084.

480990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480990³ = 333833100942897000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 16033 = 480990 / (4 + 8 + 0 + 9 + 9 + 0).

It is a Curzon number.

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 480990.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7987 + ... + 8046.

It is an arithmetic number, because the mean of its divisors is an integer number (72153).

2⁴⁸⁰⁹⁹⁰ is an apocalyptic number.

480990 is an abundant number, since it is smaller than the sum of its proper divisors (673458).

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

480990 is a wasteful number, since it uses less digits than its factorization.

480990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16043.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 480990 is about 693.5344259660. The cubic root of 480990 is about 78.3511452881.

The spelling of 480990 in words is "four hundred eighty thousand, nine hundred ninety".