204312400 has 60 divisors (see below), whose sum is σ = 497655772. Its totient is φ = 80593920.

The previous prime is 204312391. The next prime is 204312463. The reversal of 204312400 is 4213402.

204312400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8088336 + 196224064 = 2844^2 + 14008^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 25702 + ... + 32698.

Almost surely, 2^204312400 is an apocalyptic number.

204312400 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 204312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248827886).

204312400 is an abundant number, since it is smaller than the sum of its proper divisors (293343372).

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

204312400 is a wasteful number, since it uses less digits than its factorization.

204312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7077 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 204312400 is about 14293.7888609004. The cubic root of 204312400 is about 588.9768727894.

Adding to 204312400 its reverse (4213402), we get a palindrome (208525802).

The spelling of 204312400 in words is "two hundred four million, three hundred twelve thousand, four hundred".