204131400 has 192 divisors, whose sum is σ = 698258880. Its totient is φ = 48921600.

The previous prime is 204131399. The next prime is 204131423. The reversal of 204131400 is 4131402.

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 204131400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036102 + ... + 1036298.

It is an arithmetic number, because the mean of its divisors is an integer number (3636765).

Almost surely, 2^204131400 is an apocalyptic number.

204131400 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 204131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349129440).

204131400 is an abundant number, since it is smaller than the sum of its proper divisors (494127480).

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

204131400 is a wasteful number, since it uses less digits than its factorization.

204131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204131400 is about 14287.4560366778. The cubic root of 204131400 is about 588.8028968750.

Adding to 204131400 its reverse (4131402), we get a palindrome (208262802).

The spelling of 204131400 in words is "two hundred four million, one hundred thirty-one thousand, four hundred".