204030400 has 84 divisors (see below), whose sum is σ = 573794128. Its totient is φ = 69949440.

The previous prime is 204030397. The next prime is 204030419. The reversal of 204030400 is 4030402.

It is a congruent number.

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, 2092 + ... + 20308.

Almost surely, 2^204030400 is an apocalyptic number.

204030400 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 204030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286897064).

204030400 is an abundant number, since it is smaller than the sum of its proper divisors (369763728).

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

204030400 is a wasteful number, since it uses less digits than its factorization.

204030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18246 (or 18231 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 204030400 is about 14283.9210303054. The cubic root of 204030400 is about 588.7057716846.

Adding to 204030400 its reverse (4030402), we get a palindrome (208060802).

The spelling of 204030400 in words is "two hundred four million, thirty thousand, four hundred".