204234400 has 72 divisors (see below), whose sum is σ = 507155040. Its totient is φ = 80290560.

The previous prime is 204234389. The next prime is 204234421. The reversal of 204234400 is 4432402.

204234400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45037 + ... + 49363.

It is an arithmetic number, because the mean of its divisors is an integer number (7043820).

Almost surely, 2^204234400 is an apocalyptic number.

204234400 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 204234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253577520).

204234400 is an abundant number, since it is smaller than the sum of its proper divisors (302920640).

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

204234400 is a wasteful number, since it uses less digits than its factorization.

204234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 204234400 is about 14291.0601426206. The cubic root of 204234400 is about 588.9019123473.

Adding to 204234400 its reverse (4432402), we get a palindrome (208666802).

The spelling of 204234400 in words is "two hundred four million, two hundred thirty-four thousand, four hundred".