4846387200 has 432 divisors, whose sum is σ = 17553095280. Its totient is φ = 1174405120.

The previous prime is 4846387159. The next prime is 4846387211. The reversal of 4846387200 is 27836484.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167116786 + ... + 167116814.

It is an arithmetic number, because the mean of its divisors is an integer number (40632165).

Almost surely, 2^4846387200 is an apocalyptic number.

4846387200 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 4846387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776547640).

4846387200 is an abundant number, since it is smaller than the sum of its proper divisors (12706708080).

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

4846387200 is an equidigital number, since it uses as much as digits as its factorization.

4846387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4846387200 is about 69615.9981613422. The cubic root of 4846387200 is about 1692.2818749187.

The spelling of 4846387200 in words is "four billion, eight hundred forty-six million, three hundred eighty-seven thousand, two hundred".