468801 has 16 divisors (see below), whose sum is σ = 705600. Its totient is φ = 307584.

The previous prime is 468781. The next prime is 468803. The reversal of 468801 is 108864.

It is not a de Polignac number, because 468801 - 2⁶ = 468737 is a prime.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468801.

It is not an unprimeable number, because it can be changed into a prime (468803) 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, 2530 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁴⁶⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

468801 is a deficient number, since it is larger than the sum of its proper divisors (236799).

468801 is a wasteful number, since it uses less digits than its factorization.

468801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 468801 is about 684.6904410024. The cubic root of 468801 is about 77.6836297708.

The spelling of 468801 in words is "four hundred sixty-eight thousand, eight hundred one".