4843966400 has 672 divisors, whose sum is σ = 16508943360. Its totient is φ = 1353646080.

The previous prime is 4843966339. The next prime is 4843966423. The reversal of 4843966400 is 46693484.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 47028749 + ... + 47028851.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 2^4843966400 is an apocalyptic number.

4843966400 is a gapful number since it is divisible by the number (40) 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 4843966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254471680).

4843966400 is an abundant number, since it is smaller than the sum of its proper divisors (11664976960).

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

4843966400 is a wasteful number, since it uses less digits than its factorization.

4843966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 4843966400 is about 69598.6091815059. The cubic root of 4843966400 is about 1692.0000596140. Note that the first 4 decimals are identical.

The spelling of 4843966400 in words is "four billion, eight hundred forty-three million, nine hundred sixty-six thousand, four hundred".