4830000384 has 144 divisors (see below), whose sum is σ = 14476621824. Its totient is φ = 1416345600.

The previous prime is 4830000379. The next prime is 4830000401.

4830000384 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252667 + ... + 271109.

It is an arithmetic number, because the mean of its divisors is an integer number (100532096).

Almost surely, 2^4830000384 is an apocalyptic number.

4830000384 is a gapful number since it is divisible by the number (44) 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 4830000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238310912).

4830000384 is an abundant number, since it is smaller than the sum of its proper divisors (9646621440).

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

4830000384 is a wasteful number, since it uses less digits than its factorization.

4830000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18490 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4830000384 is about 69498.2041782376. The cubic root of 4830000384 is about 1690.3723820244.

It can be divided in two parts, 4830000 and 384, that added together give a palindrome (4830384).

The spelling of 4830000384 in words is "four billion, eight hundred thirty million, three hundred eighty-four", and thus it is an aban number.