204492859200 has 1008 divisors, whose sum is σ = 867820122624. Its totient is φ = 46394726400.

The previous prime is 204492859199. The next prime is 204492859231. The reversal of 204492859200 is 2958294402.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617803035 + ... + 617803365.

Almost surely, 2^204492859200 is an apocalyptic number.

204492859200 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 204492859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433910061312).

204492859200 is an abundant number, since it is smaller than the sum of its proper divisors (663327263424).

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

204492859200 is a wasteful number, since it uses less digits than its factorization.

204492859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 204492859200 in words is "two hundred four billion, four hundred ninety-two million, eight hundred fifty-nine thousand, two hundred".