204280992 has 72 divisors (see below), whose sum is σ = 582312276. Its totient is φ = 67931136.

The previous prime is 204280991. The next prime is 204281023. The reversal of 204280992 is 299082402.

It can be written as a sum of positive squares in 2 ways, for example, as 194769936 + 9511056 = 13956^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (204280991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217548 + ... + 218484.

Almost surely, 2^204280992 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 204280992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291156138).

204280992 is an abundant number, since it is smaller than the sum of its proper divisors (378031284).

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

204280992 is a wasteful number, since it uses less digits than its factorization.

204280992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 204280992 is about 14292.6901596585. The cubic root of 204280992 is about 588.9466910128.

The spelling of 204280992 in words is "two hundred four million, two hundred eighty thousand, nine hundred ninety-two".