200900 has 54 divisors (see below), whose sum is σ = 519498. Its totient is φ = 67200.

The previous prime is 200899. The next prime is 200903. The reversal of 200900 is 9002.

200900 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 196 + 200704 = 14^2 + 448^2 .

200900 is a modest number, since divided by 900 gives 200 as remainder.

It is a nialpdrome in base 14.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200903) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4880 + ... + 4920.

2²⁰⁰⁹⁰⁰ is an apocalyptic number.

200900 is a gapful number since it is divisible by the number (20) 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 200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259749).

200900 is an abundant number, since it is smaller than the sum of its proper divisors (318598).

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

200900 is a wasteful number, since it uses less digits than its factorization.

200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 200900 is about 448.2186966203. The cubic root of 200900 is about 58.5679440436.

Adding to 200900 its reverse (9002), we get a palindrome (209902).

The spelling of 200900 in words is "two hundred thousand, nine hundred".