4004056 has 32 divisors (see below), whose sum is σ = 8663040. Its totient is φ = 1699488.

The previous prime is 4004023. The next prime is 4004057. The reversal of 4004056 is 6504004.

4004056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4004056² = 32064928902272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004057) 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 7 ways as a sum of consecutive naturals, for example, 6831 + ... + 7393.

It is an arithmetic number, because the mean of its divisors is an integer number (270720).

Almost surely, 2^4004056 is an apocalyptic number.

It is an amenable number.

4004056 is an abundant number, since it is smaller than the sum of its proper divisors (4658984).

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

4004056 is a wasteful number, since it uses less digits than its factorization.

4004056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4004056 is about 2001.0137430812. The cubic root of 4004056 is about 158.7937412275.

The spelling of 4004056 in words is "four million, four thousand, fifty-six", and thus it is an eban number.