204004000320 has 112 divisors (see below), whose sum is σ = 648292896960. Its totient is φ = 54352336896.

The previous prime is 204004000283. The next prime is 204004000349. The reversal of 204004000320 is 23000400402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204004000320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983466 + ... + 1172694.

Almost surely, 2^204004000320 is an apocalyptic number.

204004000320 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 204004000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324146448480).

204004000320 is an abundant number, since it is smaller than the sum of its proper divisors (444288896640).

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

204004000320 is a wasteful number, since it uses less digits than its factorization.

204004000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190372 (or 190362 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 204004000320 its reverse (23000400402), we get a palindrome (227004400722).

The spelling of 204004000320 in words is "two hundred four billion, four million, three hundred twenty", and thus it is an aban number.