5232302400 has 336 divisors, whose sum is σ = 18763049088. Its totient is φ = 1268736000.

The previous prime is 5232302399. The next prime is 5232302429. The reversal of 5232302400 is 42032325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4429810 + ... + 4430990.

It is an arithmetic number, because the mean of its divisors is an integer number (55842408).

Almost surely, 2^5232302400 is an apocalyptic number.

5232302400 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 5232302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9381524544).

5232302400 is an abundant number, since it is smaller than the sum of its proper divisors (13530746688).

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

5232302400 is a wasteful number, since it uses less digits than its factorization.

5232302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 5232302400 is about 72334.6555946733. The cubic root of 5232302400 is about 1736.0581928152.

Adding to 5232302400 its reverse (42032325), we get a palindrome (5274334725).

The spelling of 5232302400 in words is "five billion, two hundred thirty-two million, three hundred two thousand, four hundred".