5238440256 has 336 divisors, whose sum is σ = 17245730304. Its totient is φ = 1395846144.

The previous prime is 5238440237. The next prime is 5238440261. The reversal of 5238440256 is 6520448325.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9304231 + ... + 9304793.

Almost surely, 2^5238440256 is an apocalyptic number.

5238440256 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 5238440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622865152).

5238440256 is an abundant number, since it is smaller than the sum of its proper divisors (12007290048).

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

5238440256 is a wasteful number, since it uses less digits than its factorization.

5238440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The square root of 5238440256 is about 72377.0699600364. The cubic root of 5238440256 is about 1736.7367666996.

The spelling of 5238440256 in words is "five billion, two hundred thirty-eight million, four hundred forty thousand, two hundred fifty-six".