452400 has 120 divisors (see below), whose sum is σ = 1614480. Its totient is φ = 107520.

The previous prime is 452393. The next prime is 452401. The reversal of 452400 is 4254.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 452400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452401) by changing a digit.

452400 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 23 ways as a sum of consecutive naturals, for example, 15586 + ... + 15614.

It is an arithmetic number, because the mean of its divisors is an integer number (13454).

2⁴⁵²⁴⁰⁰ is an apocalyptic number.

452400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807240).

452400 is an abundant number, since it is smaller than the sum of its proper divisors (1162080).

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

452400 is a wasteful number, since it uses less digits than its factorization.

452400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 452400 is about 672.6068688320. The cubic root of 452400 is about 76.7669345508.

Adding to 452400 its reverse (4254), we get a palindrome (456654).

The spelling of 452400 in words is "four hundred fifty-two thousand, four hundred".