305748 has 48 divisors (see below), whose sum is σ = 840000. Its totient is φ = 95904.

The previous prime is 305743. The next prime is 305749. The reversal of 305748 is 847503.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

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 305748.

It is not an unprimeable number, because it can be changed into a prime (305741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1978 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (17500).

2³⁰⁵⁷⁴⁸ is an apocalyptic number.

305748 is a gapful number since it is divisible by the number (38) 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 305748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420000).

305748 is an abundant number, since it is smaller than the sum of its proper divisors (534252).

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

305748 is a wasteful number, since it uses less digits than its factorization.

305748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 305748 is about 552.9448435423. The cubic root of 305748 is about 67.3681376342.

It can be divided in two parts, 30 and 5748, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 305748 in words is "three hundred five thousand, seven hundred forty-eight".