4008020 has 12 divisors (see below), whose sum is σ = 8416884. Its totient is φ = 1603200.

The previous prime is 4008013. The next prime is 4008023. The reversal of 4008020 is 208004.

It can be written as a sum of positive squares in 2 ways, for example, as 1435204 + 2572816 = 1198^2 + 1604^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4007986 and 4008004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100181 + ... + 100220.

It is an arithmetic number, because the mean of its divisors is an integer number (701407).

Almost surely, 2^4008020 is an apocalyptic number.

It is an amenable number.

4008020 is an abundant number, since it is smaller than the sum of its proper divisors (4408864).

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

4008020 is a wasteful number, since it uses less digits than its factorization.

4008020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200410 (or 200408 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4008020 is about 2002.0039960000. The cubic root of 4008020 is about 158.8461256750.

The spelling of 4008020 in words is "four million, eight thousand, twenty".