48306 has 16 divisors (see below), whose sum is σ = 98784. Its totient is φ = 15744.

The previous prime is 48299. The next prime is 48311. The reversal of 48306 is 60384.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48306.

It is an unprimeable number.

48306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450 + ... + 546.

It is an arithmetic number, because the mean of its divisors is an integer number (6174).

2⁴⁸³⁰⁶ is an apocalyptic number.

48306 is an abundant number, since it is smaller than the sum of its proper divisors (50478).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392).

48306 is a wasteful number, since it uses less digits than its factorization.

48306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 48306 is about 219.7862598071. The cubic root of 48306 is about 36.4194759519.

The spelling of 48306 in words is "forty-eight thousand, three hundred six".