4865600 has 42 divisors (see below), whose sum is σ = 11976354. Its totient is φ = 1945600.

The previous prime is 4865573. The next prime is 4865603. The reversal of 4865600 is 65684.

4865600 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 3 ways, for example, as 1420864 + 3444736 = 1192^2 + 1856^2 .

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (4865603) 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, 80 + ... + 3120.

Almost surely, 2^4865600 is an apocalyptic number.

4865600 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 4865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988177).

4865600 is an abundant number, since it is smaller than the sum of its proper divisors (7110754).

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

4865600 is a wasteful number, since it uses less digits than its factorization.

4865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 4865600 is about 2205.8105086340. The cubic root of 4865600 is about 169.4515195071.

The spelling of 4865600 in words is "four million, eight hundred sixty-five thousand, six hundred".