204122400 has 144 divisors (see below), whose sum is σ = 703642464. Its totient is φ = 51220480.

The previous prime is 204122393. The next prime is 204122407. The reversal of 204122400 is 4221402.

204122400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204122393) and next prime (204122407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204122400.

It is not an unprimeable number, because it can be changed into a prime (204122407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38299 + ... + 43301.

It is an arithmetic number, because the mean of its divisors is an integer number (4886406).

Almost surely, 2^204122400 is an apocalyptic number.

204122400 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 204122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351821232).

204122400 is an abundant number, since it is smaller than the sum of its proper divisors (499520064).

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

204122400 is a wasteful number, since it uses less digits than its factorization.

204122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 204122400 is about 14287.1410716070. The cubic root of 204122400 is about 588.7942434555.

Adding to 204122400 its reverse (4221402), we get a palindrome (208343802).

The spelling of 204122400 in words is "two hundred four million, one hundred twenty-two thousand, four hundred".