204301600 has 72 divisors (see below), whose sum is σ = 510436080. Its totient is φ = 79806720.

The previous prime is 204301567. The next prime is 204301609. The reversal of 204301600 is 6103402.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204301609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31431 + ... + 37369.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2^204301600 is an apocalyptic number.

204301600 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 204301600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255218040).

204301600 is an abundant number, since it is smaller than the sum of its proper divisors (306134480).

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

204301600 is a wasteful number, since it uses less digits than its factorization.

204301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 204301600 is about 14293.4110694404. The cubic root of 204301600 is about 588.9664947893.

The spelling of 204301600 in words is "two hundred four million, three hundred one thousand, six hundred".