204395270400 has 864 divisors, whose sum is σ = 804317270400. Its totient is φ = 51239485440.

The previous prime is 204395270353. The next prime is 204395270407. The reversal of 204395270400 is 4072593402.

204395270400 is a `hidden beast` number, since 204 + 395 + 27 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204395270407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237945171 + ... + 237946029.

Almost surely, 2^204395270400 is an apocalyptic number.

204395270400 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 204395270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402158635200).

204395270400 is an abundant number, since it is smaller than the sum of its proper divisors (599922000000).

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

204395270400 is an frugal number, since it uses more digits than its factorization.

204395270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 204395270400 in words is "two hundred four billion, three hundred ninety-five million, two hundred seventy thousand, four hundred".