204195534400 has 567 divisors, whose sum is σ = 605694926403. Its totient is φ = 67673548800.

The previous prime is 204195534371. The next prime is 204195534401. The reversal of 204195534400 is 4435591402.

It is a happy number.

The square root of 204195534400 is 451880.

It is a perfect power (a square), and thus also a powerful number.

204195534400 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 4 ways, for example, as 52631701056 + 151563833344 = 229416^2 + 389312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 204195534400.

It is not an unprimeable number, because it can be changed into a prime (204195534401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2584753561 + ... + 2584753639.

Almost surely, 2^204195534400 is an apocalyptic number.

204195534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

204195534400 is the 451880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204195534400

204195534400 is an abundant number, since it is smaller than the sum of its proper divisors (401499392003).

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

204195534400 is a wasteful number, since it uses less digits than its factorization.

204195534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 204195534400 in words is "two hundred four billion, one hundred ninety-five million, five hundred thirty-four thousand, four hundred".