468132 has 24 divisors (see below), whose sum is σ = 1248576. Its totient is φ = 133728.

The previous prime is 468121. The next prime is 468133. The reversal of 468132 is 231864.

It is a happy number.

468132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (468133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2703 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (52024).

2⁴⁶⁸¹³² is an apocalyptic number.

468132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468132 is an abundant number, since it is smaller than the sum of its proper divisors (780444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468132 is a wasteful number, since it uses less digits than its factorization.

468132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5585 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 468132 is about 684.2017246397. The cubic root of 468132 is about 77.6466595075.

Adding to 468132 its reverse (231864), we get a palindrome (699996).

It can be divided in two parts, 468 and 132, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 468132 in words is "four hundred sixty-eight thousand, one hundred thirty-two".