204978688 has 60 divisors (see below), whose sum is σ = 432636930. Its totient is φ = 97007616.

The previous prime is 204978679. The next prime is 204978689. The reversal of 204978688 is 886879402.

It can be written as a sum of positive squares in only one way, i.e., 204146944 + 831744 = 14288^2 + 912^2 .

It is not an unprimeable number, because it can be changed into a prime (204978689) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 184278 + ... + 185386.

Almost surely, 2^204978688 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 204978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216318465).

204978688 is an abundant number, since it is smaller than the sum of its proper divisors (227658242).

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

204978688 is an equidigital number, since it uses as much as digits as its factorization.

204978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 204978688 is about 14317.0767966090. The cubic root of 204978688 is about 589.6164202147.

The spelling of 204978688 in words is "two hundred four million, nine hundred seventy-eight thousand, six hundred eighty-eight".