452832 has 48 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 146432.

The previous prime is 452831. The next prime is 452857. The reversal of 452832 is 238254.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452831) 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, 5044 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2⁴⁵²⁸³² 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 452832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

452832 is an abundant number, since it is smaller than the sum of its proper divisors (771888).

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

452832 is a wasteful number, since it uses less digits than its factorization.

452832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 452832 is about 672.9279307623. The cubic root of 452832 is about 76.7913618757.

It can be divided in two parts, 4528 and 32, that added together give a triangular number (4560 = T₉₅).

The spelling of 452832 in words is "four hundred fifty-two thousand, eight hundred thirty-two".