4001408 has 32 divisors (see below), whose sum is σ = 8168160. Its totient is φ = 1951488.

The previous prime is 4001407. The next prime is 4001411. The reversal of 4001408 is 8041004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4001408² = 32022531964928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001407) 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, 5141 + ... + 5867.

It is an arithmetic number, because the mean of its divisors is an integer number (255255).

Almost surely, 2^4001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084080).

4001408 is an abundant number, since it is smaller than the sum of its proper divisors (4166752).

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

4001408 is an equidigital number, since it uses as much as digits as its factorization.

4001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4001408 is about 2000.3519690295. The cubic root of 4001408 is about 158.7587285175.

The spelling of 4001408 in words is "four million, one thousand, four hundred eight".