204432320 has 112 divisors (see below), whose sum is σ = 506943360. Its totient is φ = 78468096.

The previous prime is 204432313. The next prime is 204432323. The reversal of 204432320 is 23234402.

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 = 204432292 and 204432301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1141991 + ... + 1142169.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^204432320 is an apocalyptic number.

204432320 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 204432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

204432320 is an abundant number, since it is smaller than the sum of its proper divisors (302511040).

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

204432320 is a wasteful number, since it uses less digits than its factorization.

204432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 204432320 is about 14297.9830745459. The cubic root of 204432320 is about 589.0920824592.

Adding to 204432320 its reverse (23234402), we get a palindrome (227666722).

The spelling of 204432320 in words is "two hundred four million, four hundred thirty-two thousand, three hundred twenty".