468752 has 10 divisors (see below), whose sum is σ = 908238. Its totient is φ = 234368.

The previous prime is 468739. The next prime is 468761. The reversal of 468752 is 257864.

468752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 430336 + 38416 = 656^2 + 196^2 .

It is an unprimeable number.

468752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14633 + ... + 14664.

468752 is a Friedman number, since it can be written as 8+6*5^7-4-2, using all its digits and the basic arithmetic operations.

2⁴⁶⁸⁷⁵² is an apocalyptic number.

It is an amenable number.

468752 is a deficient number, since it is larger than the sum of its proper divisors (439486).

468752 is a wasteful number, since it uses less digits than its factorization.

468752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29305 (or 29299 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 468752 is about 684.6546574734. The cubic root of 468752 is about 77.6809231281.

The spelling of 468752 in words is "four hundred sixty-eight thousand, seven hundred fifty-two".