204630528 has 80 divisors (see below), whose sum is σ = 549964800. Its totient is φ = 67608576.

The previous prime is 204630523. The next prime is 204630541. The reversal of 204630528 is 825036402.

204630528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204630495 and 204630504.

It is not an unprimeable number, because it can be changed into a prime (204630523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194548 + ... + 195596.

It is an arithmetic number, because the mean of its divisors is an integer number (6874560).

Almost surely, 2^204630528 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 204630528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274982400).

204630528 is an abundant number, since it is smaller than the sum of its proper divisors (345334272).

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

204630528 is a wasteful number, since it uses less digits than its factorization.

204630528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 204630528 is about 14304.9127225579. The cubic root of 204630528 is about 589.2824063243.

The spelling of 204630528 in words is "two hundred four million, six hundred thirty thousand, five hundred twenty-eight".