5238400 has 48 divisors (see below), whose sum is σ = 12948390. Its totient is φ = 2094080.

The previous prime is 5238383. The next prime is 5238403. The reversal of 5238400 is 48325.

It can be written as a sum of positive squares in 3 ways, for example, as 2334784 + 2903616 = 1528^2 + 1704^2 .

It is not an unprimeable number, because it can be changed into a prime (5238403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2382 + ... + 4018.

Almost surely, 2^5238400 is an apocalyptic number.

5238400 is a gapful number since it is divisible by the number (50) 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 5238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6474195).

5238400 is an abundant number, since it is smaller than the sum of its proper divisors (7709990).

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

5238400 is a wasteful number, since it uses less digits than its factorization.

5238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 5238400 is about 2288.7551201472. The cubic root of 5238400 is about 173.6732317904.

The spelling of 5238400 in words is "five million, two hundred thirty-eight thousand, four hundred".