204074980200 has 1440 divisors, whose sum is σ = 928615564800. Its totient is φ = 40440176640.

The previous prime is 204074980177. The next prime is 204074980229. The reversal of 204074980200 is 2089470402.

204074980200 is a `hidden beast` number, since 2 + 0 + 407 + 49 + 8 + 0 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 426043561 + ... + 426044039.

It is an arithmetic number, because the mean of its divisors is an integer number (644871920).

Almost surely, 2^204074980200 is an apocalyptic number.

204074980200 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 204074980200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464307782400).

204074980200 is an abundant number, since it is smaller than the sum of its proper divisors (724540584600).

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

204074980200 is a wasteful number, since it uses less digits than its factorization.

204074980200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 204074980200 in words is "two hundred four billion, seventy-four million, nine hundred eighty thousand, two hundred".