4005408 has 48 divisors (see below), whose sum is σ = 11473056. Its totient is φ = 1213440.

The previous prime is 4005377. The next prime is 4005433. The reversal of 4005408 is 8045004.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 2952.

It is an arithmetic number, because the mean of its divisors is an integer number (239022).

Almost surely, 2^4005408 is an apocalyptic number.

4005408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4005408 is an abundant number, since it is smaller than the sum of its proper divisors (7467648).

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

4005408 is a wasteful number, since it uses less digits than its factorization.

4005408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4005408 is about 2001.3515433327. The cubic root of 4005408 is about 158.8116118549.

The spelling of 4005408 in words is "four million, five thousand, four hundred eight".