204994800 has 420 divisors, whose sum is σ = 798283480. Its totient is φ = 50388480.

The previous prime is 204994759. The next prime is 204994807. The reversal of 204994800 is 8499402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204994807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5540382 + ... + 5540418.

Almost surely, 2^204994800 is an apocalyptic number.

204994800 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 204994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399141740).

204994800 is an abundant number, since it is smaller than the sum of its proper divisors (593288680).

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

204994800 is a wasteful number, since it uses less digits than its factorization.

204994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 204994800 is about 14317.6394702479. The cubic root of 204994800 is about 589.6318684075.

The spelling of 204994800 in words is "two hundred four million, nine hundred ninety-four thousand, eight hundred".