204288000400 has 240 divisors, whose sum is σ = 578987585280. Its totient is φ = 68427980800.

The previous prime is 204288000377. The next prime is 204288000401. The reversal of 204288000400 is 4000882402.

204288000400 is a nontrivial binomial coefficient, being equal to C(639200, 2).

It is not an unprimeable number, because it can be changed into a prime (204288000401) 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, 3486546 + ... + 3544654.

It is an arithmetic number, because the mean of its divisors is an integer number (2412448272).

Almost surely, 2^204288000400 is an apocalyptic number.

204288000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204288000400 is the 639199-th triangular number and also the 319600-th hexagonal number.

204288000400 is the 213067-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204288000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289493792640).

204288000400 is an abundant number, since it is smaller than the sum of its proper divisors (374699584880).

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

204288000400 is a wasteful number, since it uses less digits than its factorization.

204288000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58202 (or 58191 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 204288000400 its reverse (4000882402), we get a palindrome (208288882802).

The spelling of 204288000400 in words is "two hundred four billion, two hundred eighty-eight million, four hundred", and thus it is an aban number.