305190 has 24 divisors (see below), whose sum is σ = 793728. Its totient is φ = 81360.

The previous prime is 305147. The next prime is 305209. The reversal of 305190 is 91503.

It is a super-2 number, since 2×305190² = 186281872200, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

305190 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606 + ... + 1785.

It is an arithmetic number, because the mean of its divisors is an integer number (33072).

2³⁰⁵¹⁹⁰ is an apocalyptic number.

305190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305190 is an abundant number, since it is smaller than the sum of its proper divisors (488538).

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

305190 is a wasteful number, since it uses less digits than its factorization.

305190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 305190 is about 552.4400419955. The cubic root of 305190 is about 67.3271296662.

Adding to 305190 its reverse (91503), we get a palindrome (396693).

The spelling of 305190 in words is "three hundred five thousand, one hundred ninety".