204878084400 has 960 divisors, whose sum is σ = 839736253440. Its totient is φ = 46957363200.

The previous prime is 204878084393. The next prime is 204878084407. The reversal of 204878084400 is 4480878402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204878084393) and next prime (204878084407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (204878084407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265042414 + ... + 265043186.

It is an arithmetic number, because the mean of its divisors is an integer number (874725264).

Almost surely, 2^204878084400 is an apocalyptic number.

204878084400 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 204878084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419868126720).

204878084400 is an abundant number, since it is smaller than the sum of its proper divisors (634858169040).

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

204878084400 is a wasteful number, since it uses less digits than its factorization.

204878084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 204878084400 in words is "two hundred four billion, eight hundred seventy-eight million, eighty-four thousand, four hundred".