6438432 has 192 divisors, whose sum is σ = 23030784. Its totient is φ = 1520640.

The previous prime is 6438431. The next prime is 6438437. The reversal of 6438432 is 2348346.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6438432.

It is not an unprimeable number, because it can be changed into a prime (6438431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96063 + ... + 96129.

It is an arithmetic number, because the mean of its divisors is an integer number (119952).

Almost surely, 2^6438432 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 6438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

6438432 is an abundant number, since it is smaller than the sum of its proper divisors (16592352).

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

6438432 is a wasteful number, since it uses less digits than its factorization.

6438432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 6438432 is about 2537.4065500034. The cubic root of 6438432 is about 186.0344484698.

The spelling of 6438432 in words is "six million, four hundred thirty-eight thousand, four hundred thirty-two".