5839456 has 48 divisors (see below), whose sum is σ = 13305600. Its totient is φ = 2471040.

The previous prime is 5839453. The next prime is 5839481. The reversal of 5839456 is 6549385.

It is a d-powerful number, because it can be written as 5⁴ + 8² + 3¹⁴ + 9⁴ + 4¹⁰ + 5⁴ + 6² .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5839453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29245 + ... + 29443.

It is an arithmetic number, because the mean of its divisors is an integer number (277200).

Almost surely, 2^5839456 is an apocalyptic number.

5839456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652800).

5839456 is an abundant number, since it is smaller than the sum of its proper divisors (7466144).

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

5839456 is a wasteful number, since it uses less digits than its factorization.

5839456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 339 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 5839456 is about 2416.4966376968. The cubic root of 5839456 is about 180.0766751527.

The spelling of 5839456 in words is "five million, eight hundred thirty-nine thousand, four hundred fifty-six".