5304936400 has 60 divisors (see below), whose sum is σ = 12830791500. Its totient is φ = 2107709440.

The previous prime is 5304936397. The next prime is 5304936433. The reversal of 5304936400 is 46394035.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 524043664 + 4780892736 = 22892^2 + 69144^2 .

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 11 ways as a sum of consecutive naturals, for example, 15096 + ... + 104104.

It is an arithmetic number, because the mean of its divisors is an integer number (213846525).

Almost surely, 2^5304936400 is an apocalyptic number.

5304936400 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 5304936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415395750).

5304936400 is an abundant number, since it is smaller than the sum of its proper divisors (7525855100).

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

5304936400 is a wasteful number, since it uses less digits than its factorization.

5304936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89176 (or 89165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 5304936400 is about 72834.9943365138. The cubic root of 5304936400 is about 1744.0545338978.

The spelling of 5304936400 in words is "five billion, three hundred four million, nine hundred thirty-six thousand, four hundred".