204430120 has 64 divisors (see below), whose sum is σ = 499852800. Its totient is φ = 74960640.

The previous prime is 204430099. The next prime is 204430129. The reversal of 204430120 is 21034402.

204430120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 204430094 and 204430103.

It is not an unprimeable number, because it can be changed into a prime (204430129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19222 + ... + 27898.

It is an arithmetic number, because the mean of its divisors is an integer number (7810200).

Almost surely, 2^204430120 is an apocalyptic number.

204430120 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 204430120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249926400).

204430120 is an abundant number, since it is smaller than the sum of its proper divisors (295422680).

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

204430120 is a wasteful number, since it uses less digits than its factorization.

204430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8738 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204430120 is about 14297.9061404109. The cubic root of 204430120 is about 589.0899692786.

Adding to 204430120 its reverse (21034402), we get a palindrome (225464522).

The spelling of 204430120 in words is "two hundred four million, four hundred thirty thousand, one hundred twenty".