4115790 has 96 divisors (see below), whose sum is σ = 12579840. Its totient is φ = 914112.

The previous prime is 4115789. The next prime is 4115791. The reversal of 4115790 is 975114.

It is an interprime number because it is at equal distance from previous prime (4115789) and next prime (4115791).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29541 + ... + 29679.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 2^4115790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289920).

4115790 is an abundant number, since it is smaller than the sum of its proper divisors (8464050).

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

4115790 is a wasteful number, since it uses less digits than its factorization.

4115790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 4115790 is about 2028.7409888894. The cubic root of 4115790 is about 160.2572684010.

The spelling of 4115790 in words is "four million, one hundred fifteen thousand, seven hundred ninety".