4830660384 has 192 divisors, whose sum is σ = 14392909440. Its totient is φ = 1405214720.

The previous prime is 4830660371. The next prime is 4830660397.

4830660384 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4830660371) and next prime (4830660397).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7135054 + ... + 7135730.

It is an arithmetic number, because the mean of its divisors is an integer number (74963070).

Almost surely, 2^4830660384 is an apocalyptic number.

4830660384 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 4830660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196454720).

4830660384 is an abundant number, since it is smaller than the sum of its proper divisors (9562249056).

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

4830660384 is a wasteful number, since it uses less digits than its factorization.

4830660384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4830660384 is about 69502.9523401704. The cubic root of 4830660384 is about 1690.4493726987.

The spelling of 4830660384 in words is "four billion, eight hundred thirty million, six hundred sixty thousand, three hundred eighty-four".