6409424 has 40 divisors (see below), whose sum is σ = 14374080. Its totient is φ = 2711808.

The previous prime is 6409409. The next prime is 6409471. The reversal of 6409424 is 4249046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9647 + ... + 10289.

It is an arithmetic number, because the mean of its divisors is an integer number (359352).

Almost surely, 2^6409424 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 6409424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187040).

6409424 is an abundant number, since it is smaller than the sum of its proper divisors (7964656).

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

6409424 is a wasteful number, since it uses less digits than its factorization.

6409424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6409424 is about 2531.6840245181. The cubic root of 6409424 is about 185.7546385123.

The spelling of 6409424 in words is "six million, four hundred nine thousand, four hundred twenty-four".