4868800 has 84 divisors (see below), whose sum is σ = 12755880. Its totient is φ = 1822720.

The previous prime is 4868797. The next prime is 4868813. The reversal of 4868800 is 88684.

4868800 = 128² + 129² + ... + 255².

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27111 + ... + 27289.

Almost surely, 2^4868800 is an apocalyptic number.

4868800 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 4868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377940).

4868800 is an abundant number, since it is smaller than the sum of its proper divisors (7887080).

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

4868800 is a wasteful number, since it uses less digits than its factorization.

4868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4868800 is about 2206.5357463680. The cubic root of 4868800 is about 169.4886595674.

The spelling of 4868800 in words is "four million, eight hundred sixty-eight thousand, eight hundred".