459867 has 16 divisors (see below), whose sum is σ = 663552. Its totient is φ = 282240.

The previous prime is 459847. The next prime is 459883. The reversal of 459867 is 768954.

It is not a de Polignac number, because 459867 - 2⁶ = 459803 is a prime.

It is a super-2 number, since 2×459867² = 422955315378, which contains 22 as substring.

459867 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (459817) 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, 3558 + ... + 3684.

It is an arithmetic number, because the mean of its divisors is an integer number (41472).

2⁴⁵⁹⁸⁶⁷ is an apocalyptic number.

459867 is a deficient number, since it is larger than the sum of its proper divisors (203685).

459867 is a wasteful number, since it uses less digits than its factorization.

459867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 60480, while the sum is 39.

The square root of 459867 is about 678.1349423234. The cubic root of 459867 is about 77.1869858238.

It can be divided in two parts, 459 and 867, that added together give a triangular number (1326 = T₅₁).

The spelling of 459867 in words is "four hundred fifty-nine thousand, eight hundred sixty-seven".