204685272 has 128 divisors (see below), whose sum is σ = 624499200. Its totient is φ = 61603200.

The previous prime is 204685267. The next prime is 204685279. The reversal of 204685272 is 272586402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204685279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657997 + ... + 658307.

It is an arithmetic number, because the mean of its divisors is an integer number (4878900).

Almost surely, 2^204685272 is an apocalyptic number.

204685272 is a gapful number since it is divisible by the number (22) 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 204685272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312249600).

204685272 is an abundant number, since it is smaller than the sum of its proper divisors (419813928).

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

204685272 is a wasteful number, since it uses less digits than its factorization.

204685272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204685272 is about 14306.8260631071. The cubic root of 204685272 is about 589.3349511068.

The spelling of 204685272 in words is "two hundred four million, six hundred eighty-five thousand, two hundred seventy-two".