481590 has 24 divisors (see below), whose sum is σ = 1252368. Its totient is φ = 128400.

The previous prime is 481589. The next prime is 481619. The reversal of 481590 is 95184.

481590 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 481590.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2586 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (52182).

2⁴⁸¹⁵⁹⁰ is an apocalyptic number.

481590 is an abundant number, since it is smaller than the sum of its proper divisors (770778).

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

481590 is a wasteful number, since it uses less digits than its factorization.

481590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 481590 is about 693.9668579983. The cubic root of 481590 is about 78.3837108669.

The spelling of 481590 in words is "four hundred eighty-one thousand, five hundred ninety".