4115808 has 72 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 1324800.

The previous prime is 4115803. The next prime is 4115833. The reversal of 4115808 is 8085114.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8698 + ... + 9158.

It is an arithmetic number, because the mean of its divisors is an integer number (168168).

Almost surely, 2^4115808 is an apocalyptic number.

4115808 is a gapful number since it is divisible by the number (48) 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 4115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048).

4115808 is an abundant number, since it is smaller than the sum of its proper divisors (7992288).

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

4115808 is a wasteful number, since it uses less digits than its factorization.

4115808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 4115808 is about 2028.7454251335. The cubic root of 4115808 is about 160.2575020238.

The spelling of 4115808 in words is "four million, one hundred fifteen thousand, eight hundred eight".