4830 has 32 divisors (see below), whose sum is σ = 13824. Its totient is φ = 1056.

The previous prime is 4817. The next prime is 4831. The reversal of 4830 is 384.

4830 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a plaindrome in base 8, base 13 and base 16.

It is a zygodrome 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 4830.

It is not an unprimeable number, because it can be changed into a prime (4831) by changing a digit.

4830 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 15 ways as a sum of consecutive naturals, for example, 199 + ... + 221.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

2⁴⁸³⁰ is an apocalyptic number.

It is a pronic number, being equal to 69×70.

It is a practical number, because each smaller number is the sum of distinct divisors of 4830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912).

4830 is an abundant number, since it is smaller than the sum of its proper divisors (8994).

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

4830 is a wasteful number, since it uses less digits than its factorization.

4830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4830 is about 69.4982014156. The cubic root of 4830 is about 16.9037233723.

It can be divided in two parts, 48 and 30, that added together give a triangular number (78 = T₁₂).

The spelling of 4830 in words is "four thousand, eight hundred thirty".