4845600 has 108 divisors (see below), whose sum is σ = 17112186. Its totient is φ = 1290240.

The previous prime is 4845593. The next prime is 4845601. The reversal of 4845600 is 65484.

It can be written as a sum of positive squares in 3 ways, for example, as 3196944 + 1648656 = 1788^2 + 1284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4845601) 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, 6864 + ... + 7536.

Almost surely, 2^4845600 is an apocalyptic number.

4845600 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 4845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556093).

4845600 is an abundant number, since it is smaller than the sum of its proper divisors (12266586).

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

4845600 is a wasteful number, since it uses less digits than its factorization.

4845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4845600 is about 2201.2723593413. The cubic root of 4845600 is about 169.2190244021.

It can be divided in two parts, 4845 and 600, that added together give a palindrome (5445).

The spelling of 4845600 in words is "four million, eight hundred forty-five thousand, six hundred".