4008840 has 64 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 971520.

The previous prime is 4008799. The next prime is 4008841. The reversal of 4008840 is 488004.

4008840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4008840.

It is not an unprimeable number, because it can be changed into a prime (4008841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199 + ... + 2838.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^4008840 is an apocalyptic number.

4008840 is a gapful number since it is divisible by the number (40) 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 4008840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

4008840 is an abundant number, since it is smaller than the sum of its proper divisors (9115320).

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

4008840 is a wasteful number, since it uses less digits than its factorization.

4008840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4008840 is about 2002.2087803224. The cubic root of 4008840 is about 158.8569577019.

The spelling of 4008840 in words is "four million, eight thousand, eight hundred forty".