205256268 has 144 divisors (see below), whose sum is σ = 623261184. Its totient is φ = 57853440.

The previous prime is 205256267. The next prime is 205256269. The reversal of 205256268 is 862652502.

205256268 is a `hidden beast` number, since 2 + 0 + 5 + 25 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (205256267) and next prime (205256269).

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 (205256267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659833 + ... + 660143.

Almost surely, 2^205256268 is an apocalyptic number.

205256268 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 205256268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311630592).

205256268 is an abundant number, since it is smaller than the sum of its proper divisors (418004916).

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

205256268 is a wasteful number, since it uses less digits than its factorization.

205256268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 205256268 is about 14326.7675349326. The cubic root of 205256268 is about 589.8824509664.

The spelling of 205256268 in words is "two hundred five million, two hundred fifty-six thousand, two hundred sixty-eight".