6401408 has 32 divisors (see below), whose sum is σ = 13737360. Its totient is φ = 2953728.

The previous prime is 6401399. The next prime is 6401411. The reversal of 6401408 is 8041046.

It is a happy number.

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

6401408 is a modest number, since divided by 1408 gives 640 as remainder.

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, 260 + ... + 3587.

Almost surely, 2^6401408 is an apocalyptic number.

It is an amenable number.

6401408 is an abundant number, since it is smaller than the sum of its proper divisors (7335952).

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

6401408 is a wasteful number, since it uses less digits than its factorization.

6401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 6401408 is about 2530.1003932651. The cubic root of 6401408 is about 185.6771676734.

It can be divided in two parts, 640 and 1408, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 6401408 in words is "six million, four hundred one thousand, four hundred eight".