204934272 has 64 divisors (see below), whose sum is σ = 545952960. Its totient is φ = 68111360.

The previous prime is 204934267. The next prime is 204934291. The reversal of 204934272 is 272439402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192622 + ... + 193682.

It is an arithmetic number, because the mean of its divisors is an integer number (8530515).

Almost surely, 2^204934272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204934272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272976480).

204934272 is an abundant number, since it is smaller than the sum of its proper divisors (341018688).

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

204934272 is a wasteful number, since it uses less digits than its factorization.

204934272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 204934272 is about 14315.5255579388. The cubic root of 204934272 is about 589.5738299419.

The spelling of 204934272 in words is "two hundred four million, nine hundred thirty-four thousand, two hundred seventy-two".