204138720 has 288 divisors, whose sum is σ = 764225280. Its totient is φ = 49397760.

The previous prime is 204138709. The next prime is 204138787. The reversal of 204138720 is 27831402.

It is a tau number, because it is divible by the number of its divisors (288).

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, 758746 + ... + 759014.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^204138720 is an apocalyptic number.

204138720 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 204138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

204138720 is an abundant number, since it is smaller than the sum of its proper divisors (560086560).

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

204138720 is a wasteful number, since it uses less digits than its factorization.

204138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 204138720 is about 14287.7122031486. The cubic root of 204138720 is about 588.8099348020.

The spelling of 204138720 in words is "two hundred four million, one hundred thirty-eight thousand, seven hundred twenty".