4115600 has 30 divisors (see below), whose sum is σ = 9888690. Its totient is φ = 1646080.

The previous prime is 4115599. The next prime is 4115603. The reversal of 4115600 is 65114.

It is a happy number.

4115600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 3254416 = 928^2 + 1804^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4115603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4745 + ... + 5544.

It is an arithmetic number, because the mean of its divisors is an integer number (329623).

Almost surely, 2^4115600 is an apocalyptic number.

4115600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115600 is an abundant number, since it is smaller than the sum of its proper divisors (5773090).

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

4115600 is a wasteful number, since it uses less digits than its factorization.

4115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10307 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 4115600 is about 2028.6941612772. The cubic root of 4115600 is about 160.2548023415.

It can be divided in two parts, 4 and 115600, that multiplied together give a square (462400 = 680²).

The spelling of 4115600 in words is "four million, one hundred fifteen thousand, six hundred".