452100 has 72 divisors (see below), whose sum is σ = 1437408. Its totient is φ = 108800.

The previous prime is 452087. The next prime is 452131. The reversal of 452100 is 1254.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 452100.

It is an unprimeable number.

452100 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, 3232 + ... + 3368.

It is an arithmetic number, because the mean of its divisors is an integer number (19964).

2⁴⁵²¹⁰⁰ 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 452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718704).

452100 is an abundant number, since it is smaller than the sum of its proper divisors (985308).

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

452100 is a wasteful number, since it uses less digits than its factorization.

452100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 452100 is about 672.3838189606. The cubic root of 452100 is about 76.7499619801.

452100 divided by its sum of digits (12) gives a triangular number (37675 = T₂₇₄).

Adding to 452100 its reverse (1254), we get a palindrome (453354).

It can be divided in two parts, 45 and 2100, that added together give a triangular number (2145 = T₆₅).

The spelling of 452100 in words is "four hundred fifty-two thousand, one hundred".