450406200 has 96 divisors (see below), whose sum is σ = 1399754160. Its totient is φ = 119808000.

The previous prime is 450406199. The next prime is 450406283. The reversal of 450406200 is 2604054.

It is a happy number.

450406200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345550 + ... + 346850.

Almost surely, 2^450406200 is an apocalyptic number.

450406200 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 450406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699877080).

450406200 is an abundant number, since it is smaller than the sum of its proper divisors (949347960).

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

450406200 is a wasteful number, since it uses less digits than its factorization.

450406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 450406200 is about 21222.7755018047. The cubic root of 450406200 is about 766.5399370448.

The spelling of 450406200 in words is "four hundred fifty million, four hundred six thousand, two hundred".