456132 has 12 divisors (see below), whose sum is σ = 1064336. Its totient is φ = 152040.

The previous prime is 456119. The next prime is 456149. The reversal of 456132 is 231654.

It is a happy number.

456132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 456099 and 456108.

It is an unprimeable number.

456132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18994 + ... + 19017.

2⁴⁵⁶¹³² is an apocalyptic number.

It is an amenable number.

456132 is an abundant number, since it is smaller than the sum of its proper divisors (608204).

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

456132 is a wasteful number, since it uses less digits than its factorization.

456132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38018 (or 38016 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 456132 is about 675.3754511381. The cubic root of 456132 is about 76.9774488410.

Adding to 456132 its reverse (231654), we get a palindrome (687786).

The spelling of 456132 in words is "four hundred fifty-six thousand, one hundred thirty-two".