204122880 has 432 divisors, whose sum is σ = 803537280. Its totient is φ = 47480832.

The previous prime is 204122843. The next prime is 204122881. The reversal of 204122880 is 88221402.

204122880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204122881) 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, 4343017 + ... + 4343063.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^204122880 is an apocalyptic number.

204122880 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 204122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

204122880 is an abundant number, since it is smaller than the sum of its proper divisors (599414400).

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

204122880 is a wasteful number, since it uses less digits than its factorization.

204122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 204122880 is about 14287.1578699194. The cubic root of 204122880 is about 588.7947049776.

The spelling of 204122880 in words is "two hundred four million, one hundred twenty-two thousand, eight hundred eighty".