305268 has 12 divisors (see below), whose sum is σ = 712320. Its totient is φ = 101752.

The previous prime is 305267. The next prime is 305281. The reversal of 305268 is 862503.

305268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12708 + ... + 12731.

It is an arithmetic number, because the mean of its divisors is an integer number (59360).

2³⁰⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

305268 is an abundant number, since it is smaller than the sum of its proper divisors (407052).

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

305268 is a wasteful number, since it uses less digits than its factorization.

305268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25446 (or 25444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 305268 is about 552.5106333818. The cubic root of 305268 is about 67.3328649664.

The spelling of 305268 in words is "three hundred five thousand, two hundred sixty-eight".