204789032 has 48 divisors (see below), whose sum is σ = 455143860. Its totient is φ = 86102016.

The previous prime is 204789031. The next prime is 204789047. The reversal of 204789032 is 230987402.

204789032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 204318436 + 470596 = 14294^2 + 686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204788983 and 204789001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204789031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15848 + ... + 25704.

Almost surely, 2^204789032 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 204789032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227571930).

204789032 is an abundant number, since it is smaller than the sum of its proper divisors (250354828).

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

204789032 is a wasteful number, since it uses less digits than its factorization.

204789032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 204789032 is about 14310.4518447183. The cubic root of 204789032 is about 589.4345170796.

The spelling of 204789032 in words is "two hundred four million, seven hundred eighty-nine thousand, thirty-two".