326310400 has 240 divisors, whose sum is σ = 911051064. Its totient is φ = 115015680.

The previous prime is 326310379. The next prime is 326310409. The reversal of 326310400 is 4013623.

It can be written as a sum of positive squares in 12 ways, for example, as 48888064 + 277422336 = 6992^2 + 16656^2 .

It is not an unprimeable number, because it can be changed into a prime (326310409) 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 23 ways as a sum of consecutive naturals, for example, 6156774 + ... + 6156826.

Almost surely, 2^326310400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455525532).

326310400 is an abundant number, since it is smaller than the sum of its proper divisors (584740664).

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

326310400 is a wasteful number, since it uses less digits than its factorization.

326310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 326310400 is about 18064.0637731381. The cubic root of 326310400 is about 688.4572406720.

The spelling of 326310400 in words is "three hundred twenty-six million, three hundred ten thousand, four hundred".