4830406656 has 192 divisors, whose sum is σ = 13798512000. Its totient is φ = 1497366528.

The previous prime is 4830406649. The next prime is 4830406667. The reversal of 4830406656 is 6566040384.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10757920 + ... + 10758368.

It is an arithmetic number, because the mean of its divisors is an integer number (71867250).

Almost surely, 2^4830406656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4830406656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899256000).

4830406656 is an abundant number, since it is smaller than the sum of its proper divisors (8968105344).

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

4830406656 is a wasteful number, since it uses less digits than its factorization.

4830406656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4830406656 is about 69501.1270124449. The cubic root of 4830406656 is about 1690.4197755137.

The spelling of 4830406656 in words is "four billion, eight hundred thirty million, four hundred six thousand, six hundred fifty-six".