452800 has 42 divisors (see below), whose sum is σ = 1118108. Its totient is φ = 180480.

The previous prime is 452797. The next prime is 452807. The reversal of 452800 is 8254.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (452807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459 + ... + 1741.

2⁴⁵²⁸⁰⁰ is an apocalyptic number.

452800 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 452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559054).

452800 is an abundant number, since it is smaller than the sum of its proper divisors (665308).

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

452800 is a wasteful number, since it uses less digits than its factorization.

452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 452800 is about 672.9041536504. The cubic root of 452800 is about 76.7895529771.

The spelling of 452800 in words is "four hundred fifty-two thousand, eight hundred".