4138848 has 72 divisors (see below), whose sum is σ = 13457808. Its totient is φ = 1181952.

The previous prime is 4138847. The next prime is 4138853. The reversal of 4138848 is 8488314.

4138848 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

4138848 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4138843) 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, 990 + ... + 3042.

It is an arithmetic number, because the mean of its divisors is an integer number (186914).

Almost surely, 2^4138848 is an apocalyptic number.

4138848 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 4138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6728904).

4138848 is an abundant number, since it is smaller than the sum of its proper divisors (9318960).

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

4138848 is a wasteful number, since it uses less digits than its factorization.

4138848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2065 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 4138848 is about 2034.4158866859. The cubic root of 4138848 is about 160.5559824508. Note that the first 3 decimals are identical.

It can be divided in two parts, 413 and 8848, that added together give a cube (9261 = 21³).

The spelling of 4138848 in words is "four million, one hundred thirty-eight thousand, eight hundred forty-eight".