305730 has 48 divisors (see below), whose sum is σ = 823680. Its totient is φ = 78624.

The previous prime is 305719. The next prime is 305741. The reversal of 305730 is 37503.

It is an interprime number because it is at equal distance from previous prime (305719) and next prime (305741).

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

It is an Ulam number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 3831 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (17160).

2³⁰⁵⁷³⁰ is an apocalyptic number.

305730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411840).

305730 is an abundant number, since it is smaller than the sum of its proper divisors (517950).

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

305730 is a wasteful number, since it uses less digits than its factorization.

305730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 305730 is about 552.9285668149. The cubic root of 305730 is about 67.3668155756.

It can be divided in two parts, 305 and 730, that added together give a triangular number (1035 = T₄₅).

The spelling of 305730 in words is "three hundred five thousand, seven hundred thirty".