4004406 has 48 divisors (see below), whose sum is σ = 10097568. Its totient is φ = 1123200.

The previous prime is 4004393. The next prime is 4004417. The reversal of 4004406 is 6044004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7426 + ... + 7946.

It is an arithmetic number, because the mean of its divisors is an integer number (210366).

Almost surely, 2^4004406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048784).

4004406 is an abundant number, since it is smaller than the sum of its proper divisors (6093162).

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

4004406 is a wasteful number, since it uses less digits than its factorization.

4004406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4004406 is about 2001.1011968414. The cubic root of 4004406 is about 158.7983678852.

The spelling of 4004406 in words is "four million, four thousand, four hundred six".