204308631800 has 192 divisors, whose sum is σ = 584986516800. Its totient is φ = 64621670400.

The previous prime is 204308631767. The next prime is 204308631811. The reversal of 204308631800 is 8136803402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57892436 + ... + 57895964.

It is an arithmetic number, because the mean of its divisors is an integer number (3046804775).

Almost surely, 2^204308631800 is an apocalyptic number.

204308631800 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 204308631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292493258400).

204308631800 is an abundant number, since it is smaller than the sum of its proper divisors (380677885000).

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

204308631800 is a wasteful number, since it uses less digits than its factorization.

204308631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6746 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 204308631800 in words is "two hundred four billion, three hundred eight million, six hundred thirty-one thousand, eight hundred".