5238864400 has 405 divisors, whose sum is σ = 16443014637. Its totient is φ = 1598150400.

The previous prime is 5238864317. The next prime is 5238864401. The reversal of 5238864400 is 44688325.

The square root of 5238864400 is 72380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1885991184 + 3352873216 = 43428^2 + 57904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5238864401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 111465177 + ... + 111465223.

Almost surely, 2^5238864400 is an apocalyptic number.

5238864400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5238864400 is the 72380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5238864400

5238864400 is an abundant number, since it is smaller than the sum of its proper divisors (11204150237).

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

5238864400 is a wasteful number, since it uses less digits than its factorization.

5238864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The cubic root of 5238864400 is about 1736.7836385777.

The spelling of 5238864400 in words is "five billion, two hundred thirty-eight million, eight hundred sixty-four thousand, four hundred".