4000408 has 16 divisors (see below), whose sum is σ = 7576560. Its totient is φ = 1980000.

The previous prime is 4000379. The next prime is 4000439. The reversal of 4000408 is 8040004.

It is a junction number, because it is equal to n+sod(n) for n = 4000391 and 4000400.

It is a congruent number.

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, 1668 + ... + 3283.

It is an arithmetic number, because the mean of its divisors is an integer number (473535).

Almost surely, 2^4000408 is an apocalyptic number.

It is an amenable number.

4000408 is a deficient number, since it is larger than the sum of its proper divisors (3576152).

4000408 is a wasteful number, since it uses less digits than its factorization.

4000408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5058 (or 5054 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000408 is about 2000.1019973991. The cubic root of 4000408 is about 158.7455021769.

The spelling of 4000408 in words is "four million, four hundred eight", and thus it is an aban number.