450200 has 24 divisors (see below), whose sum is σ = 1047180. Its totient is φ = 180000.

The previous prime is 450199. The next prime is 450209. The reversal of 450200 is 2054.

450200 = 122² + 123² + ... + 146².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 926 + ... + 1325.

2⁴⁵⁰²⁰⁰ is an apocalyptic number.

450200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450200 is an abundant number, since it is smaller than the sum of its proper divisors (596980).

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

450200 is a wasteful number, since it uses less digits than its factorization.

450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 450200 is about 670.9694478887. The cubic root of 450200 is about 76.6422942902.

Adding to 450200 its reverse (2054), we get a palindrome (452254).

It can be divided in two parts, 450 and 200, that multiplied together give a square (90000 = 300²).

The spelling of 450200 in words is "four hundred fifty thousand, two hundred".