204351320 has 64 divisors (see below), whose sum is σ = 483287040. Its totient is φ = 77616000.

The previous prime is 204351317. The next prime is 204351361. The reversal of 204351320 is 23153402.

It is a happy number.

204351320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 204351292 and 204351301.

It is a congruent number.

It is an unprimeable number.

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, 138185 + ... + 139655.

It is an arithmetic number, because the mean of its divisors is an integer number (7551360).

Almost surely, 2^204351320 is an apocalyptic number.

204351320 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 204351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241643520).

204351320 is an abundant number, since it is smaller than the sum of its proper divisors (278935720).

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

204351320 is a wasteful number, since it uses less digits than its factorization.

204351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 204351320 is about 14295.1502265629. The cubic root of 204351320 is about 589.0142689933.

The spelling of 204351320 in words is "two hundred four million, three hundred fifty-one thousand, three hundred twenty".