6497408 has 32 divisors (see below), whose sum is σ = 13512960. Its totient is φ = 3106048.

The previous prime is 6497399. The next prime is 6497441. The reversal of 6497408 is 8047946.

It is a happy number.

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

It is a d-powerful number, because it can be written as 6⁸ + 4⁵ + 9⁷ + 7 + 4⁵ + 0 + 8⁵ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1841 + ... + 4047.

It is an arithmetic number, because the mean of its divisors is an integer number (422280).

Almost surely, 2^6497408 is an apocalyptic number.

6497408 is the 1472-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6497408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756480).

6497408 is an abundant number, since it is smaller than the sum of its proper divisors (7015552).

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

6497408 is a wasteful number, since it uses less digits than its factorization.

6497408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 6497408 is about 2549.0013730871. The cubic root of 6497408 is about 186.6007476993.

The spelling of 6497408 in words is "six million, four hundred ninety-seven thousand, four hundred eight".