204097920 has 384 divisors, whose sum is σ = 766052640. Its totient is φ = 46006272.

The previous prime is 204097897. The next prime is 204097931. The reversal of 204097920 is 29790402.

It is a tau number, because it is divible by the number of its divisors (384).

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, 5516142 + ... + 5516178.

Almost surely, 2^204097920 is an apocalyptic number.

204097920 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 204097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383026320).

204097920 is an abundant number, since it is smaller than the sum of its proper divisors (561954720).

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

204097920 is a wasteful number, since it uses less digits than its factorization.

204097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 204097920 is about 14286.2843314838. The cubic root of 204097920 is about 588.7707048673.

The spelling of 204097920 in words is "two hundred four million, ninety-seven thousand, nine hundred twenty".