204430320 has 120 divisors (see below), whose sum is σ = 689130000. Its totient is φ = 54309888.

The previous prime is 204430273. The next prime is 204430349. The reversal of 204430320 is 23034402.

204430320 is a `hidden beast` number, since 204 + 430 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204430293 and 204430302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358996 + ... + 359564.

It is an arithmetic number, because the mean of its divisors is an integer number (5742750).

Almost surely, 2^204430320 is an apocalyptic number.

204430320 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 204430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344565000).

204430320 is an abundant number, since it is smaller than the sum of its proper divisors (484699680).

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

204430320 is a wasteful number, since it uses less digits than its factorization.

204430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 204430320 is about 14297.9131344403. The cubic root of 204430320 is about 589.0901613866.

Adding to 204430320 its reverse (23034402), we get a palindrome (227464722).

The spelling of 204430320 in words is "two hundred four million, four hundred thirty thousand, three hundred twenty".