204493905000 has 720 divisors, whose sum is σ = 878359584960. Its totient is φ = 42487200000.

The previous prime is 204493904977. The next prime is 204493905023. The reversal of 204493905000 is 509394402.

204493905000 is a `hidden beast` number, since 20 + 4 + 49 + 3 + 90 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (204493904977) and next prime (204493905023).

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 179 ways as a sum of consecutive naturals, for example, 24250785 + ... + 24259215.

It is an arithmetic number, because the mean of its divisors is an integer number (1219943868).

Almost surely, 2^204493905000 is an apocalyptic number.

204493905000 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 204493905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439179792480).

204493905000 is an abundant number, since it is smaller than the sum of its proper divisors (673865679960).

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

204493905000 is a wasteful number, since it uses less digits than its factorization.

204493905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8488 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 204493905000 in words is "two hundred four billion, four hundred ninety-three million, nine hundred five thousand".