305008 has 20 divisors (see below), whose sum is σ = 645048. Its totient is φ = 138560.

The previous prime is 304981. The next prime is 305017. The reversal of 305008 is 800503.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 304982 and 305000.

It is a congruent number.

It is an unprimeable number.

305008 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 3 ways as a sum of consecutive naturals, for example, 691 + ... + 1042.

2³⁰⁵⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

305008 is an abundant number, since it is smaller than the sum of its proper divisors (340040).

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

305008 is a wasteful number, since it uses less digits than its factorization.

305008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 305008 is about 552.2752936716. The cubic root of 305008 is about 67.3137434978.

The spelling of 305008 in words is "three hundred five thousand, eight".