204056474400 has 288 divisors, whose sum is σ = 741273180480. Its totient is φ = 54174044160.

The previous prime is 204056474387. The next prime is 204056474443. The reversal of 204056474400 is 4474650402.

204056474400 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 5 + 647 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4882392 + ... + 4924008.

It is an arithmetic number, because the mean of its divisors is an integer number (2573865210).

Almost surely, 2^204056474400 is an apocalyptic number.

204056474400 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 204056474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370636590240).

204056474400 is an abundant number, since it is smaller than the sum of its proper divisors (537216706080).

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

204056474400 is a wasteful number, since it uses less digits than its factorization.

204056474400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41873 (or 41854 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 204056474400 in words is "two hundred four billion, fifty-six million, four hundred seventy-four thousand, four hundred".