4848384000 has 384 divisors, whose sum is σ = 16558214400. Its totient is φ = 1259110400.

The previous prime is 4848383999. The next prime is 4848384019. The reversal of 4848384000 is 4838484.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4848384000² = 47013654822912000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4848384000.

It is a congruent number.

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, 45311947 + ... + 45312053.

It is an arithmetic number, because the mean of its divisors is an integer number (43120350).

Almost surely, 2^4848384000 is an apocalyptic number.

4848384000 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 4848384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279107200).

4848384000 is an abundant number, since it is smaller than the sum of its proper divisors (11709830400).

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

4848384000 is a wasteful number, since it uses less digits than its factorization.

4848384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 4848384000 is about 69630.3382154647. The cubic root of 4848384000 is about 1692.5142600147.

The spelling of 4848384000 in words is "four billion, eight hundred forty-eight million, three hundred eighty-four thousand".