481585 has 16 divisors (see below), whose sum is σ = 645120. Its totient is φ = 342720.

The previous prime is 481577. The next prime is 481589. The reversal of 481585 is 585184.

It is not a de Polignac number, because 481585 - 2³ = 481577 is a prime.

It is a super-2 number, since 2×481585² = 463848224450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

481585 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (481589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 2134.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴⁸¹⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

481585 is a deficient number, since it is larger than the sum of its proper divisors (163535).

481585 is a wasteful number, since it uses less digits than its factorization.

481585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288.

The product of its digits is 6400, while the sum is 31.

The square root of 481585 is about 693.9632555114. The cubic root of 481585 is about 78.3834395988.

It can be divided in two parts, 4815 and 85, that added together give a square (4900 = 70²).

The spelling of 481585 in words is "four hundred eighty-one thousand, five hundred eighty-five".