200939200 has 252 divisors, whose sum is σ = 630140472. Its totient is φ = 62361600.

The previous prime is 200939131. The next prime is 200939209. The reversal of 200939200 is 2939002.

200939200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (200939209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 862284 + ... + 862516.

Almost surely, 2^200939200 is an apocalyptic number.

200939200 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 200939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315070236).

200939200 is an abundant number, since it is smaller than the sum of its proper divisors (429201272).

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

200939200 is a wasteful number, since it uses less digits than its factorization.

200939200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 200939200 is about 14175.3024659088. The cubic root of 200939200 is about 585.7175309302.

It can be divided in two parts, 2009 and 39200, that added together give a square (41209 = 203²).

The spelling of 200939200 in words is "two hundred million, nine hundred thirty-nine thousand, two hundred".