204634496 has 128 divisors (see below), whose sum is σ = 475891200. Its totient is φ = 86732800.

The previous prime is 204634489. The next prime is 204634499. The reversal of 204634496 is 694436402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204634499) 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 15 ways as a sum of consecutive naturals, for example, 2299220 + ... + 2299308.

It is an arithmetic number, because the mean of its divisors is an integer number (3717900).

Almost surely, 2^204634496 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 204634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

204634496 is an abundant number, since it is smaller than the sum of its proper divisors (271256704).

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

204634496 is a wasteful number, since it uses less digits than its factorization.

204634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

The square root of 204634496 is about 14305.0514154966. The cubic root of 204634496 is about 589.2862152338.

The spelling of 204634496 in words is "two hundred four million, six hundred thirty-four thousand, four hundred ninety-six".