325324800 has 234 divisors, whose sum is σ = 1168544442. Its totient is φ = 86507520.

The previous prime is 325324793. The next prime is 325324829. The reversal of 325324800 is 8423523.

It can be written as a sum of positive squares in 3 ways, for example, as 13307904 + 312016896 = 3648^2 + 17664^2 .

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 921424 + ... + 921776.

Almost surely, 2^325324800 is an apocalyptic number.

325324800 is a gapful number since it is divisible by the number (30) 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 325324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584272221).

325324800 is an abundant number, since it is smaller than the sum of its proper divisors (843219642).

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

325324800 is a wasteful number, since it uses less digits than its factorization.

325324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 325324800 is about 18036.7624589337. The cubic root of 325324800 is about 687.7633943925.

The spelling of 325324800 in words is "three hundred twenty-five million, three hundred twenty-four thousand, eight hundred".