481689 has 24 divisors (see below), whose sum is σ = 786240. Its totient is φ = 281952.

The previous prime is 481681. The next prime is 481693. The reversal of 481689 is 986184.

It is a happy number.

It is not a de Polignac number, because 481689 - 2³ = 481681 is a prime.

It is a Curzon number.

481689 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 481689.

It is not an unprimeable number, because it can be changed into a prime (481681) 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 23 ways as a sum of consecutive naturals, for example, 2602 + ... + 2780.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁸¹⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

481689 is a deficient number, since it is larger than the sum of its proper divisors (304551).

481689 is a wasteful number, since it uses less digits than its factorization.

481689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 481689 is about 694.0381833876. The cubic root of 481689 is about 78.3890815872.

The spelling of 481689 in words is "four hundred eighty-one thousand, six hundred eighty-nine".