204869280 has 384 divisors, whose sum is σ = 843042816. Its totient is φ = 40550400.

The previous prime is 204869279. The next prime is 204869281. The reversal of 204869280 is 82968402.

It is an interprime number because it is at equal distance from previous prime (204869279) and next prime (204869281).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (204869281) 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 63 ways as a sum of consecutive naturals, for example, 849960 + ... + 850200.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^204869280 is an apocalyptic number.

204869280 is a gapful number since it is divisible by the number (20) 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 204869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421521408).

204869280 is an abundant number, since it is smaller than the sum of its proper divisors (638173536).

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

204869280 is a wasteful number, since it uses less digits than its factorization.

204869280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 204869280 is about 14313.2553949128. The cubic root of 204869280 is about 589.5114983574.

The spelling of 204869280 in words is "two hundred four million, eight hundred sixty-nine thousand, two hundred eighty".