204909768 has 108 divisors (see below), whose sum is σ = 648260145. Its totient is φ = 58302720.

The previous prime is 204909743. The next prime is 204909779. The reversal of 204909768 is 867909402.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 190937124 + 13972644 = 13818^2 + 3738^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 850128 + ... + 850368.

Almost surely, 2^204909768 is an apocalyptic number.

204909768 is a gapful number since it is divisible by the number (28) 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 204909768

204909768 is an abundant number, since it is smaller than the sum of its proper divisors (443350377).

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

204909768 is a wasteful number, since it uses less digits than its factorization.

204909768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 204909768 is about 14314.6696783405. The cubic root of 204909768 is about 589.5503305490.

The spelling of 204909768 in words is "two hundred four million, nine hundred nine thousand, seven hundred sixty-eight".