200289600 has 252 divisors, whose sum is σ = 813982624. Its totient is φ = 45757440.

The previous prime is 200289581. The next prime is 200289611. The reversal of 200289600 is 6982002.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99807 + ... + 101793.

Almost surely, 2^200289600 is an apocalyptic number.

200289600 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 200289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406991312).

200289600 is an abundant number, since it is smaller than the sum of its proper divisors (613693024).

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

200289600 is a wasteful number, since it uses less digits than its factorization.

200289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 200289600 is about 14152.3708261196. The cubic root of 200289600 is about 585.0856766911.

The spelling of 200289600 in words is "two hundred million, two hundred eighty-nine thousand, six hundred".