305220 has 24 divisors (see below), whose sum is σ = 854784. Its totient is φ = 81376.

The previous prime is 305219. The next prime is 305231. The reversal of 305220 is 22503.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 305196 and 305205.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2484 + ... + 2603.

It is an arithmetic number, because the mean of its divisors is an integer number (35616).

2³⁰⁵²²⁰ is an apocalyptic number.

305220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305220 is an abundant number, since it is smaller than the sum of its proper divisors (549564).

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

305220 is a wasteful number, since it uses less digits than its factorization.

305220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 305220 is about 552.4671935961. The cubic root of 305220 is about 67.3293356665.

Adding to 305220 its reverse (22503), we get a palindrome (327723).

It can be divided in two parts, 305 and 220, that added together give a palindrome (525).

The spelling of 305220 in words is "three hundred five thousand, two hundred twenty".