459 has 8 divisors (see below), whose sum is σ = 720. Its totient is φ = 288.

The previous prime is 457. The next prime is 461. The reversal of 459 is 954.

459 is nontrivially palindromic in base 12.

459 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (457) and next prime (461).

It is not a de Polignac number, because 459 - 2¹ = 457 is a prime.

459 is an undulating number in base 12.

Its product of digits (180) is a multiple of the sum of its prime divisors (20).

It is a plaindrome in base 7, base 10, base 11 and base 14.

It is not an unprimeable number, because it can be changed into a prime (457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19 + ... + 35.

It is an arithmetic number, because the mean of its divisors is an integer number (90).

459 is a deficient number, since it is larger than the sum of its proper divisors (261).

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

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

The sum of its prime factors is 26 (or 20 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 459 is about 21.4242852856. The cubic root of 459 is about 7.7138447720.

Subtracting from 459 its sum of digits (18), we obtain a square (441 = 21²).

The spelling of 459 in words is "four hundred fifty-nine", and thus it is an aban number.