5302400 has 48 divisors (see below), whose sum is σ = 13106490. Its totient is φ = 2119680.

The previous prime is 5302391. The next prime is 5302403. The reversal of 5302400 is 42035.

5302400 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 3 ways, for example, as 3474496 + 1827904 = 1864^2 + 1352^2 .

It is not an unprimeable number, because it can be changed into a prime (5302403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2372 + ... + 4028.

Almost surely, 2^5302400 is an apocalyptic number.

5302400 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 5302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553245).

5302400 is an abundant number, since it is smaller than the sum of its proper divisors (7804090).

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

5302400 is a wasteful number, since it uses less digits than its factorization.

5302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 5302400 is about 2302.6940743399. The cubic root of 5302400 is about 174.3776533385.

Adding to 5302400 its reverse (42035), we get a palindrome (5344435).

The spelling of 5302400 in words is "five million, three hundred two thousand, four hundred".