305880 has 32 divisors (see below), whose sum is σ = 918000. Its totient is φ = 81536.

The previous prime is 305873. The next prime is 305917. The reversal of 305880 is 88503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 305880.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305880.

It is an unprimeable number.

305880 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, 1155 + ... + 1394.

2³⁰⁵⁸⁸⁰ is an apocalyptic number.

305880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305880 is an abundant number, since it is smaller than the sum of its proper divisors (612120).

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

305880 is a wasteful number, since it uses less digits than its factorization.

305880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 305880 is about 553.0641915727. The cubic root of 305880 is about 67.3778311451.

It can be divided in two parts, 30 and 5880, that multiplied together give a square (176400 = 420²).

The spelling of 305880 in words is "three hundred five thousand, eight hundred eighty".