204443120 has 80 divisors (see below), whose sum is σ = 546506688. Its totient is φ = 69672960.

The previous prime is 204443119. The next prime is 204443131. The reversal of 204443120 is 21344402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 204443092 and 204443101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100352 + ... + 102368.

Almost surely, 2^204443120 is an apocalyptic number.

204443120 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 204443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273253344).

204443120 is an abundant number, since it is smaller than the sum of its proper divisors (342063568).

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

204443120 is a wasteful number, since it uses less digits than its factorization.

204443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 204443120 is about 14298.3607452043. The cubic root of 204443120 is about 589.1024560350.

Adding to 204443120 its reverse (21344402), we get a palindrome (225787522).

The spelling of 204443120 in words is "two hundred four million, four hundred forty-three thousand, one hundred twenty".