455832 has 48 divisors (see below), whose sum is σ = 1332240. Its totient is φ = 139968.

The previous prime is 455831. The next prime is 455849. The reversal of 455832 is 238554.

455832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 455796 and 455805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 693 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (27755).

2⁴⁵⁵⁸³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666120).

455832 is an abundant number, since it is smaller than the sum of its proper divisors (876408).

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

455832 is a wasteful number, since it uses less digits than its factorization.

455832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 455832 is about 675.1533159217. The cubic root of 455832 is about 76.9605690056.

The spelling of 455832 in words is "four hundred fifty-five thousand, eight hundred thirty-two".