305920 has 36 divisors (see below), whose sum is σ = 735840. Its totient is φ = 121856.

The previous prime is 305917. The next prime is 305927. The reversal of 305920 is 29503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305927) 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, 1161 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2³⁰⁵⁹²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920).

305920 is an abundant number, since it is smaller than the sum of its proper divisors (429920).

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

305920 is an equidigital number, since it uses as much as digits as its factorization.

305920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 305920 is about 553.1003525582. The cubic root of 305920 is about 67.3807680221.

It can be divided in two parts, 305 and 920, that added together give a triangular number (1225 = T₄₉).

The spelling of 305920 in words is "three hundred five thousand, nine hundred twenty".