324808806400 has 351 divisors, whose sum is σ = 878561835501. Its totient is φ = 119054008320.

The previous prime is 324808806313. The next prime is 324808806407. The reversal of 324808806400 is 4608808423.

The square root of 324808806400 is 569920.

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

It can be written as a sum of positive squares in 13 ways, for example, as 288532271104 + 36276535296 = 537152^2 + 190464^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (324808806407) 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 26 ways as a sum of consecutive naturals, for example, 2370867132 + ... + 2370867268.

Almost surely, 2^324808806400 is an apocalyptic number.

324808806400 is the 569920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324808806400

324808806400 is an abundant number, since it is smaller than the sum of its proper divisors (553753029101).

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

324808806400 is an equidigital number, since it uses as much as digits as its factorization.

324808806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 324808806400 in words is "three hundred twenty-four billion, eight hundred eight million, eight hundred six thousand, four hundred".