204904944000 has 512 divisors, whose sum is σ = 799157923200. Its totient is φ = 51425280000.

The previous prime is 204904943981. The next prime is 204904944019. The reversal of 204904944000 is 449409402.

It is a happy number.

204904944000 is a `hidden beast` number, since 204 + 9 + 0 + 4 + 9 + 440 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204904943981) and next prime (204904944019).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7330050 + ... + 7357950.

Almost surely, 2^204904944000 is an apocalyptic number.

204904944000 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 204904944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399578961600).

204904944000 is an abundant number, since it is smaller than the sum of its proper divisors (594252979200).

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

204904944000 is a wasteful number, since it uses less digits than its factorization.

204904944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27956 (or 27928 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 204904944000 in words is "two hundred four billion, nine hundred four million, nine hundred forty-four thousand".