459864 has 32 divisors (see below), whose sum is σ = 1278000. Its totient is φ = 153216.

The previous prime is 459847. The next prime is 459883. The reversal of 459864 is 468954.

459864 is a `hidden beast` number, since 4 + 598 + 64 = 666.

It is a super-2 number, since 2×459864² = 422949796992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

459864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 1280.

2⁴⁵⁹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

459864 is an abundant number, since it is smaller than the sum of its proper divisors (818136).

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

459864 is a wasteful number, since it uses less digits than its factorization.

459864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2134 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 459864 is about 678.1327303707. The cubic root of 459864 is about 77.1868179771.

The spelling of 459864 in words is "four hundred fifty-nine thousand, eight hundred sixty-four".