454200 has 48 divisors (see below), whose sum is σ = 1409880. Its totient is φ = 120960.

The previous prime is 454199. The next prime is 454211. The reversal of 454200 is 2454.

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

It is a self number, because there is not a number n which added to its sum of digits gives 454200.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 454200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 978.

2⁴⁵⁴²⁰⁰ is an apocalyptic number.

454200 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 454200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704940).

454200 is an abundant number, since it is smaller than the sum of its proper divisors (955680).

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

454200 is a wasteful number, since it uses less digits than its factorization.

454200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 767 counting only the distinct ones).

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

The square root of 454200 is about 673.9436178198. The cubic root of 454200 is about 76.8686127286.

Adding to 454200 its reverse (2454), we get a palindrome (456654).

The spelling of 454200 in words is "four hundred fifty-four thousand, two hundred".