204815885400 has 576 divisors, whose sum is σ = 809523187200. Its totient is φ = 45432576000.

The previous prime is 204815885383. The next prime is 204815885413. The reversal of 204815885400 is 4588518402.

204815885400 is a `hidden beast` number, since 2 + 0 + 481 + 58 + 85 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 109001661 + ... + 109003539.

It is an arithmetic number, because the mean of its divisors is an integer number (1405422200).

Almost surely, 2^204815885400 is an apocalyptic number.

204815885400 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 204815885400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404761593600).

204815885400 is an abundant number, since it is smaller than the sum of its proper divisors (604707301800).

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

204815885400 is a wasteful number, since it uses less digits than its factorization.

204815885400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 204815885400 in words is "two hundred four billion, eight hundred fifteen million, eight hundred eighty-five thousand, four hundred".