204196800 has 168 divisors, whose sum is σ = 705510400. Its totient is φ = 51563520.

The previous prime is 204196787. The next prime is 204196807. The reversal of 204196800 is 8691402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204196807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90081 + ... + 92319.

Almost surely, 2^204196800 is an apocalyptic number.

204196800 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 204196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352755200).

204196800 is an abundant number, since it is smaller than the sum of its proper divisors (501313600).

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

204196800 is a wasteful number, since it uses less digits than its factorization.

204196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 204196800 is about 14289.7445743442. The cubic root of 204196800 is about 588.8657707523.

The spelling of 204196800 in words is "two hundred four million, one hundred ninety-six thousand, eight hundred".