4848800 has 144 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1612800.

The previous prime is 4848787. The next prime is 4848839. The reversal of 4848800 is 88484.

Added to its reverse (88484) it gives a square (4937284 = 2222²).

It is a super-2 number, since 2×4848800² = 47021722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167186 + ... + 167214.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

Almost surely, 2^4848800 is an apocalyptic number.

4848800 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 4848800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4848800 is an abundant number, since it is smaller than the sum of its proper divisors (9212800).

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

4848800 is a wasteful number, since it uses less digits than its factorization.

4848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4848800 is about 2201.9990917346. Note that the first 3 decimals coincide. The cubic root of 4848800 is about 169.2562665545.

4848800 divided by its sum of digits (32) gives a triangular number (151525 = T₅₅₀).

Adding to 4848800 its reverse (88484), we get a square (4937284 = 2222²).

The spelling of 4848800 in words is "four million, eight hundred forty-eight thousand, eight hundred".