6409400 has 48 divisors (see below), whose sum is σ = 15140400. Its totient is φ = 2522880.

The previous prime is 6409397. The next prime is 6409409. The reversal of 6409400 is 49046.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14381 + ... + 14819.

It is an arithmetic number, because the mean of its divisors is an integer number (315425).

Almost surely, 2^6409400 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 6409400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7570200).

6409400 is an abundant number, since it is smaller than the sum of its proper divisors (8731000).

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

6409400 is a wasteful number, since it uses less digits than its factorization.

6409400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 6409400 is about 2531.6792845856. The cubic root of 6409400 is about 185.7544066601.

The spelling of 6409400 in words is "six million, four hundred nine thousand, four hundred".