204275471400 has 3456 divisors, whose sum is σ = 1070481484800. Its totient is φ = 34936012800.

The previous prime is 204275471369. The next prime is 204275471441. The reversal of 204275471400 is 4174572402.

204275471400 is a `hidden beast` number, since 204 + 2 + 7 + 5 + 47 + 1 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 10751340591 + ... + 10751340609.

It is an arithmetic number, because the mean of its divisors is an integer number (309745800).

Almost surely, 2^204275471400 is an apocalyptic number.

204275471400 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 204275471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535240742400).

204275471400 is an abundant number, since it is smaller than the sum of its proper divisors (866206013400).

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

204275471400 is a wasteful number, since it uses less digits than its factorization.

204275471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 204275471400 in words is "two hundred four billion, two hundred seventy-five million, four hundred seventy-one thousand, four hundred".