4117848 has 64 divisors (see below), whose sum is σ = 11919360. Its totient is φ = 1161216.

The previous prime is 4117847. The next prime is 4117873. The reversal of 4117848 is 8487114.

It is a super-2 number, since 2×4117848² = 33913344302208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240 + ... + 21432.

It is an arithmetic number, because the mean of its divisors is an integer number (186240).

Almost surely, 2^4117848 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 4117848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5959680).

4117848 is an abundant number, since it is smaller than the sum of its proper divisors (7801512).

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

4117848 is a wasteful number, since it uses less digits than its factorization.

4117848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 4117848 is about 2029.2481366260. The cubic root of 4117848 is about 160.2839748577.

The spelling of 4117848 in words is "four million, one hundred seventeen thousand, eight hundred forty-eight".