326886400 has 99 divisors (see below), whose sum is σ = 817516531. Its totient is φ = 129597440.

The previous prime is 326886397. The next prime is 326886401. The reversal of 326886400 is 4688623.

The square root of 326886400 is 18080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 166306816 + 160579584 = 12896^2 + 12672^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 326886400.

It is not an unprimeable number, because it can be changed into a prime (326886401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2892744 + ... + 2892856.

Almost surely, 2^326886400 is an apocalyptic number.

326886400 is the 18080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326886400

326886400 is an abundant number, since it is smaller than the sum of its proper divisors (490630131).

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

326886400 is an equidigital number, since it uses as much as digits as its factorization.

326886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The cubic root of 326886400 is about 688.8620886017.

The spelling of 326886400 in words is "three hundred twenty-six million, eight hundred eighty-six thousand, four hundred".