468963 has 16 divisors (see below), whose sum is σ = 758400. Its totient is φ = 284040.

The previous prime is 468953. The next prime is 468967. The reversal of 468963 is 369864.

It is not a de Polignac number, because 468963 - 2⁶ = 468899 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468963.

It is not an unprimeable number, because it can be changed into a prime (468967) 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, 493 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (47400).

2⁴⁶⁸⁹⁶³ is an apocalyptic number.

468963 is a deficient number, since it is larger than the sum of its proper divisors (289437).

468963 is a wasteful number, since it uses less digits than its factorization.

468963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1593 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 468963 is about 684.8087324210. The cubic root of 468963 is about 77.6925769209.

Subtracting from 468963 its reverse (369864), we obtain a palindrome (99099).

It can be divided in two parts, 468 and 963, that added together give a triangular number (1431 = T₅₃).

The spelling of 468963 in words is "four hundred sixty-eight thousand, nine hundred sixty-three".