204890400 has 432 divisors, whose sum is σ = 853070400. Its totient is φ = 45619200.

The previous prime is 204890353. The next prime is 204890401. The reversal of 204890400 is 4098402.

It is not an unprimeable number, because it can be changed into a prime (204890401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1029501 + ... + 1029699.

It is an arithmetic number, because the mean of its divisors is an integer number (1974700).

Almost surely, 2^204890400 is an apocalyptic number.

204890400 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 204890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426535200).

204890400 is an abundant number, since it is smaller than the sum of its proper divisors (648180000).

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

204890400 is a wasteful number, since it uses less digits than its factorization.

204890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204890400 is about 14313.9931535543. The cubic root of 204890400 is about 589.5317552663.

The spelling of 204890400 in words is "two hundred four million, eight hundred ninety thousand, four hundred".