5382400 has 81 divisors (see below), whose sum is σ = 13797511. Its totient is φ = 2078720.

The previous prime is 5382383. The next prime is 5382401. The reversal of 5382400 is 42835.

The square root of 5382400 is 2320.

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

5382400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73984 + 5308416 = 272^2 + 2304^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (5382401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 185586 + ... + 185614.

Almost surely, 2^5382400 is an apocalyptic number.

5382400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5382400 is the 2320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5382400

5382400 is an abundant number, since it is smaller than the sum of its proper divisors (8415111).

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

5382400 is an equidigital number, since it uses as much as digits as its factorization.

5382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

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

The cubic root of 5382400 is about 175.2502542048.

The spelling of 5382400 in words is "five million, three hundred eighty-two thousand, four hundred".