204235200 has 252 divisors, whose sum is σ = 782455128. Its totient is φ = 50227200.

The previous prime is 204235189. The next prime is 204235243. The reversal of 204235200 is 2532402.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 186655 + ... + 187745.

Almost surely, 2^204235200 is an apocalyptic number.

204235200 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 204235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391227564).

204235200 is an abundant number, since it is smaller than the sum of its proper divisors (578219928).

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

204235200 is a wasteful number, since it uses less digits than its factorization.

204235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 204235200 is about 14291.0881321193. The cubic root of 204235200 is about 588.9026812692.

Adding to 204235200 its reverse (2532402), we get a palindrome (206767602).

The spelling of 204235200 in words is "two hundred four million, two hundred thirty-five thousand, two hundred".