4853846400 has 768 divisors, whose sum is σ = 19123776000. Its totient is φ = 1070530560.

The previous prime is 4853846399. The next prime is 4853846449. The reversal of 4853846400 is 46483584.

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, 54537556 + ... + 54537644.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^4853846400 is an apocalyptic number.

4853846400 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 4853846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888000).

4853846400 is an abundant number, since it is smaller than the sum of its proper divisors (14269929600).

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

4853846400 is a wasteful number, since it uses less digits than its factorization.

4853846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 4853846400 is about 69669.5514554242. The cubic root of 4853846400 is about 1693.1496414844.

The spelling of 4853846400 in words is "four billion, eight hundred fifty-three million, eight hundred forty-six thousand, four hundred".