304968 has 32 divisors (see below), whose sum is σ = 776160. Its totient is φ = 99840.

The previous prime is 304961. The next prime is 304979. The reversal of 304968 is 869403.

It is a Smith number, since the sum of its digits (30) 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 (304961) by changing a digit.

304968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2263 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (24255).

2³⁰⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

304968 is an abundant number, since it is smaller than the sum of its proper divisors (471192).

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

304968 is a wasteful number, since it uses less digits than its factorization.

304968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 304968 is about 552.2390786607. The cubic root of 304968 is about 67.3108007691.

The spelling of 304968 in words is "three hundred four thousand, nine hundred sixty-eight".