204450900 has 144 divisors (see below), whose sum is σ = 616668864. Its totient is φ = 52254720.

The previous prime is 204450821. The next prime is 204450901. The reversal of 204450900 is 9054402.

204450900 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204450901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254219 + ... + 1254381.

Almost surely, 2^204450900 is an apocalyptic number.

204450900 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 204450900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308334432).

204450900 is an abundant number, since it is smaller than the sum of its proper divisors (412217964).

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

204450900 is a wasteful number, since it uses less digits than its factorization.

204450900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 204450900 is about 14298.6328017751. The cubic root of 204450900 is about 589.1099286252.

The spelling of 204450900 in words is "two hundred four million, four hundred fifty thousand, nine hundred".