4800 has 42 divisors (see below), whose sum is σ = 15748. Its totient is φ = 1280.

The previous prime is 4799. The next prime is 4801. The reversal of 4800 is 84.

It is an interprime number because it is at equal distance from previous prime (4799) and next prime (4801).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 958 + ... + 962.

2⁴⁸⁰⁰ is an apocalyptic number.

4800 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 4800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874).

4800 is an abundant number, since it is smaller than the sum of its proper divisors (10948).

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

4800 is a wasteful number, since it uses less digits than its factorization.

4800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4800 is about 69.2820323028. The cubic root of 4800 is about 16.8686533060.

Multiplying 4800 by its sum of digits (12), we get a square (57600 = 240²).

4800 divided by its sum of digits (12) gives a square (400 = 20²).

Adding to 4800 its reverse (84), we get a palindrome (4884).

The spelling of 4800 in words is "four thousand, eight hundred".