459135 has 32 divisors (see below), whose sum is σ = 864000. Its totient is φ = 230688.

The previous prime is 459127. The next prime is 459167. The reversal of 459135 is 531954.

459135 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 459135 - 2³ = 459127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

459135 is strictly pandigital in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 459099 and 459108.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2476 + ... + 2654.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2⁴⁵⁹¹³⁵ is an apocalyptic number.

459135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

459135 is a deficient number, since it is larger than the sum of its proper divisors (404865).

459135 is a wasteful number, since it uses less digits than its factorization.

459135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 459135 is about 677.5950117880. The cubic root of 459135 is about 77.1460095714.

It can be divided in two parts, 45 and 9135, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 459135 in words is "four hundred fifty-nine thousand, one hundred thirty-five".