204896384 has 64 divisors (see below), whose sum is σ = 508939200. Its totient is φ = 79825920.

The previous prime is 204896369. The next prime is 204896387. The reversal of 204896384 is 483698402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (204896387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (7952175).

Almost surely, 2^204896384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254469600).

204896384 is an abundant number, since it is smaller than the sum of its proper divisors (304042816).

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

204896384 is a wasteful number, since it uses less digits than its factorization.

204896384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20821 (or 20809 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 204896384 is about 14314.2021782564. The cubic root of 204896384 is about 589.5374944708.

The spelling of 204896384 in words is "two hundred four million, eight hundred ninety-six thousand, three hundred eighty-four".