6408400 has 60 divisors (see below), whose sum is σ = 15848812. Its totient is φ = 2488320.

The previous prime is 6408359. The next prime is 6408407. The reversal of 6408400 is 48046.

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 6290064 = 344^2 + 2508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14584 + ... + 15016.

Almost surely, 2^6408400 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 6408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924406).

6408400 is an abundant number, since it is smaller than the sum of its proper divisors (9440412).

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

6408400 is a wasteful number, since it uses less digits than its factorization.

6408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 6408400 is about 2531.4817795118. The cubic root of 6408400 is about 185.7447456378.

The spelling of 6408400 in words is "six million, four hundred eight thousand, four hundred".