204541200 has 300 divisors, whose sum is σ = 753500880. Its totient is φ = 53118720.

The previous prime is 204541199. The next prime is 204541223. The reversal of 204541200 is 2145402.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1911547 + ... + 1911653.

Almost surely, 2^204541200 is an apocalyptic number.

204541200 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 204541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376750440).

204541200 is an abundant number, since it is smaller than the sum of its proper divisors (548959680).

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

204541200 is a wasteful number, since it uses less digits than its factorization.

204541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 204541200 is about 14301.7900977465. The cubic root of 204541200 is about 589.1966467511.

Adding to 204541200 its reverse (2145402), we get a palindrome (206686602).

The spelling of 204541200 in words is "two hundred four million, five hundred forty-one thousand, two hundred".