4115540 has 48 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1380480.

The previous prime is 4115537. The next prime is 4115543. The reversal of 4115540 is 455114.

4115540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4115537) and next prime (4115543).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2141 + ... + 3579.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^4115540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

4115540 is an abundant number, since it is smaller than the sum of its proper divisors (6045100).

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

4115540 is a wasteful number, since it uses less digits than its factorization.

4115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 4115540 is about 2028.6793733856. The cubic root of 4115540 is about 160.2540235701.

The spelling of 4115540 in words is "four million, one hundred fifteen thousand, five hundred forty".