452952 has 48 divisors (see below), whose sum is σ = 1277640. Its totient is φ = 150336.

The previous prime is 452923. The next prime is 452953. The reversal of 452952 is 259254.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452953) by changing a digit.

452952 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 in 11 ways as a sum of consecutive naturals, for example, 1828 + ... + 2060.

2⁴⁵²⁹⁵² 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 452952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638820).

452952 is an abundant number, since it is smaller than the sum of its proper divisors (824688).

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

452952 is a wasteful number, since it uses less digits than its factorization.

452952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 452952 is about 673.0170874502. The cubic root of 452952 is about 76.7981444864.

The spelling of 452952 in words is "four hundred fifty-two thousand, nine hundred fifty-two".