455200 has 36 divisors (see below), whose sum is σ = 1113210. Its totient is φ = 181760.

The previous prime is 455177. The next prime is 455201. The reversal of 455200 is 2554.

It is a happy number.

455200 is nontrivially palindromic in base 9.

455200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 258064 + 197136 = 508^2 + 444^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (455201) by changing a digit.

455200 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 5 ways as a sum of consecutive naturals, for example, 516 + ... + 1084.

2⁴⁵⁵²⁰⁰ is an apocalyptic number.

455200 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 455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556605).

455200 is an abundant number, since it is smaller than the sum of its proper divisors (658010).

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

455200 is a wasteful number, since it uses less digits than its factorization.

455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 455200 is about 674.6851117373. The cubic root of 455200 is about 76.9249845681.

Adding to 455200 its reverse (2554), we get a palindrome (457754).

The spelling of 455200 in words is "four hundred fifty-five thousand, two hundred".