5352400 has 30 divisors (see below), whose sum is σ = 12860102. Its totient is φ = 2140800.

The previous prime is 5352359. The next prime is 5352401. The reversal of 5352400 is 42535.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 5345344 = 84^2 + 2312^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6291 + ... + 7090.

Almost surely, 2^5352400 is an apocalyptic number.

5352400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5352400 is an abundant number, since it is smaller than the sum of its proper divisors (7507702).

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

5352400 is a wasteful number, since it uses less digits than its factorization.

5352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13399 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 5352400 is about 2313.5254483148. The cubic root of 5352400 is about 174.9240486740.

Adding to 5352400 its reverse (42535), we get a palindrome (5394935).

The spelling of 5352400 in words is "five million, three hundred fifty-two thousand, four hundred".