4860800 has 144 divisors (see below), whose sum is σ = 14418720. Its totient is φ = 1612800.

The previous prime is 4860799. The next prime is 4860803. The reversal of 4860800 is 80684.

It is a self number, because there is not a number n which added to its sum of digits gives 4860800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4860803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156785 + ... + 156815.

It is an arithmetic number, because the mean of its divisors is an integer number (100130).

Almost surely, 2^4860800 is an apocalyptic number.

4860800 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 4860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209360).

4860800 is an abundant number, since it is smaller than the sum of its proper divisors (9557920).

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

4860800 is a wasteful number, since it uses less digits than its factorization.

4860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 4860800 is about 2204.7222047233. The cubic root of 4860800 is about 169.3957788717.

The spelling of 4860800 in words is "four million, eight hundred sixty thousand, eight hundred".