4005008 has 20 divisors (see below), whose sum is σ = 8868480. Its totient is φ = 1716384.

The previous prime is 4004989. The next prime is 4005019. The reversal of 4005008 is 8005004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17768 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (443424).

Almost surely, 2^4005008 is an apocalyptic number.

It is an amenable number.

4005008 is an abundant number, since it is smaller than the sum of its proper divisors (4863472).

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

4005008 is a wasteful number, since it uses less digits than its factorization.

4005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35774 (or 35768 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4005008 is about 2001.2516083691. The cubic root of 4005008 is about 158.8063251060.

The spelling of 4005008 in words is "four million, five thousand, eight".