4008090 has 64 divisors (see below), whose sum is σ = 10575360. Its totient is φ = 967680.

The previous prime is 4008089. The next prime is 4008091. The reversal of 4008090 is 908004.

4008090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4008089) and next prime (4008091).

It is not an unprimeable number, because it can be changed into a prime (4008091) 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 31 ways as a sum of consecutive naturals, for example, 14655 + ... + 14925.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^4008090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4008090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287680).

4008090 is an abundant number, since it is smaller than the sum of its proper divisors (6567270).

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

4008090 is a wasteful number, since it uses less digits than its factorization.

4008090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4008090 is about 2002.0214784063. The cubic root of 4008090 is about 158.8470504179.

The spelling of 4008090 in words is "four million, eight thousand, ninety".