305280 has 96 divisors (see below), whose sum is σ = 1074060. Its totient is φ = 79872.

The previous prime is 305267. The next prime is 305281. The reversal of 305280 is 82503.

305280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 576 = 552^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (305281) by changing a digit.

305280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5734 + ... + 5786.

2³⁰⁵²⁸⁰ is an apocalyptic number.

305280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537030).

305280 is an abundant number, since it is smaller than the sum of its proper divisors (768780).

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

305280 is a wasteful number, since it uses less digits than its factorization.

305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 305280 is about 552.5214927946. The cubic root of 305280 is about 67.3337472336. Note that the first 3 decimals are identical.

Adding to 305280 its reverse (82503), we get a palindrome (387783).

It can be divided in two parts, 305 and 280, that added together give a palindrome (585).

The spelling of 305280 in words is "three hundred five thousand, two hundred eighty".