6409408 has 56 divisors (see below), whose sum is σ = 13880592. Its totient is φ = 2924544.

The previous prime is 6409397. The next prime is 6409409. The reversal of 6409408 is 8049046.

It is a zygodrome in base 2 and base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6409408.

It is not an unprimeable number, because it can be changed into a prime (6409409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46716 + ... + 46852.

Almost surely, 2^6409408 is an apocalyptic number.

6409408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

6409408 is the 1462-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940296).

6409408 is an abundant number, since it is smaller than the sum of its proper divisors (7471184).

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

6409408 is a wasteful number, since it uses less digits than its factorization.

6409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 6409408 is about 2531.6808645641. The cubic root of 6409408 is about 185.7544839442.

The spelling of 6409408 in words is "six million, four hundred nine thousand, four hundred eight".