459963 has 24 divisors (see below), whose sum is σ = 780000. Its totient is φ = 261072.

The previous prime is 459961. The next prime is 460013. The reversal of 459963 is 369954.

459963 is a `hidden beast` number, since 4 + 599 + 63 = 666.

It is not a de Polignac number, because 459963 - 2¹ = 459961 is a prime.

It is a super-2 number, since 2×459963² = 423131922738, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 459963.

It is not an unprimeable number, because it can be changed into a prime (459961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3013 + ... + 3161.

It is an arithmetic number, because the mean of its divisors is an integer number (32500).

2⁴⁵⁹⁹⁶³ is an apocalyptic number.

459963 is a deficient number, since it is larger than the sum of its proper divisors (320037).

459963 is a wasteful number, since it uses less digits than its factorization.

459963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 459963 is about 678.2057210021. The cubic root of 459963 is about 77.1923565325.

Subtracting from 459963 its reverse (369954), we obtain a palindrome (90009).

The spelling of 459963 in words is "four hundred fifty-nine thousand, nine hundred sixty-three".