204286331200 has 504 divisors, whose sum is σ = 614370802752. Its totient is φ = 66535096320.

The previous prime is 204286331149. The next prime is 204286331231. The reversal of 204286331200 is 2133682402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348017307 + ... + 348017893.

It is an arithmetic number, because the mean of its divisors is an integer number (1218989688).

Almost surely, 2^204286331200 is an apocalyptic number.

204286331200 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 204286331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307185401376).

204286331200 is an abundant number, since it is smaller than the sum of its proper divisors (410084471552).

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

204286331200 is a wasteful number, since it uses less digits than its factorization.

204286331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 204286331200 in words is "two hundred four billion, two hundred eighty-six million, three hundred thirty-one thousand, two hundred".