204790200480 has 240 divisors, whose sum is σ = 754163270784. Its totient is φ = 52236264960.

The previous prime is 204790200451. The next prime is 204790200509. The reversal of 204790200480 is 84002097402.

It is an interprime number because it is at equal distance from previous prime (204790200451) and next prime (204790200509).

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 45436 + ... + 641595.

Almost surely, 2^204790200480 is an apocalyptic number.

204790200480 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 204790200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377081635392).

204790200480 is an abundant number, since it is smaller than the sum of its proper divisors (549373070304).

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

204790200480 is a wasteful number, since it uses less digits than its factorization.

204790200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687081 (or 687064 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 204790200480 its reverse (84002097402), we get a palindrome (288792297882).

The spelling of 204790200480 in words is "two hundred four billion, seven hundred ninety million, two hundred thousand, four hundred eighty".