468753 has 16 divisors (see below), whose sum is σ = 663936. Its totient is φ = 293760.

The previous prime is 468739. The next prime is 468761. The reversal of 468753 is 357864.

It is not a de Polignac number, because 468753 - 2⁴ = 468737 is a prime.

468753 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (468703) 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, 4500 + ... + 4602.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

468753 is a Friedman number, since it can be written as 5^7*(8-6+4)+3, using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

468753 is a deficient number, since it is larger than the sum of its proper divisors (195183).

468753 is a wasteful number, since it uses less digits than its factorization.

468753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184.

The product of its digits is 20160, while the sum is 33.

The square root of 468753 is about 684.6553877682. The cubic root of 468753 is about 77.6809783676.

Subtracting from 468753 its reverse (357864), we obtain a square (110889 = 333²).

It can be divided in two parts, 46875 and 3, that multiplied together give a square (140625 = 375²).

The spelling of 468753 in words is "four hundred sixty-eight thousand, seven hundred fifty-three".