204820900 has 72 divisors (see below), whose sum is σ = 460423656. Its totient is φ = 79027200.

The previous prime is 204820897. The next prime is 204820907. The reversal of 204820900 is 9028402.

It can be written as a sum of positive squares in 12 ways, for example, as 2214144 + 202606756 = 1488^2 + 14234^2 .

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 (204820907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728760 + ... + 729040.

It is an arithmetic number, because the mean of its divisors is an integer number (6394773).

Almost surely, 2^204820900 is an apocalyptic number.

204820900 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 204820900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230211828).

204820900 is an abundant number, since it is smaller than the sum of its proper divisors (255602756).

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

204820900 is a wasteful number, since it uses less digits than its factorization.

204820900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 204820900 is about 14311.5652533187. The cubic root of 204820900 is about 589.4650902094.

The spelling of 204820900 in words is "two hundred four million, eight hundred twenty thousand, nine hundred".