204242976 has 216 divisors, whose sum is σ = 694082844. Its totient is φ = 56770560.

The previous prime is 204242963. The next prime is 204242999. The reversal of 204242976 is 679242402.

It can be written as a sum of positive squares in 2 ways, for example, as 182898576 + 21344400 = 13524^2 + 4620^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 204242976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578416 + ... + 578768.

Almost surely, 2^204242976 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 204242976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347041422).

204242976 is an abundant number, since it is smaller than the sum of its proper divisors (489839868).

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

204242976 is a wasteful number, since it uses less digits than its factorization.

204242976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 204242976 is about 14291.3601871900. The cubic root of 204242976 is about 588.9101550856.

The spelling of 204242976 in words is "two hundred four million, two hundred forty-two thousand, nine hundred seventy-six".