4008424 has 32 divisors (see below), whose sum is σ = 8870400. Its totient is φ = 1661760.

The previous prime is 4008421. The next prime is 4008427. The reversal of 4008424 is 4248004.

It is an interprime number because it is at equal distance from previous prime (4008421) and next prime (4008427).

It is a junction number, because it is equal to n+sod(n) for n = 4008395 and 4008404.

It is not an unprimeable number, because it can be changed into a prime (4008421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 2890.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^4008424 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 4008424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200).

4008424 is an abundant number, since it is smaller than the sum of its proper divisors (4861976).

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

4008424 is a wasteful number, since it uses less digits than its factorization.

4008424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4008424 is about 2002.1048923570. The cubic root of 4008424 is about 158.8514626143.

The spelling of 4008424 in words is "four million, eight thousand, four hundred twenty-four".