326390400 has 288 divisors, whose sum is σ = 1331834400. Its totient is φ = 74557440.

The previous prime is 326390387. The next prime is 326390423. The reversal of 326390400 is 4093623.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 200791 + ... + 202409.

It is an arithmetic number, because the mean of its divisors is an integer number (4624425).

Almost surely, 2^326390400 is an apocalyptic number.

326390400 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 326390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665917200).

326390400 is an abundant number, since it is smaller than the sum of its proper divisors (1005444000).

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

326390400 is a wasteful number, since it uses less digits than its factorization.

326390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 326390400 is about 18066.2779785987. The cubic root of 326390400 is about 688.5134980258.

The spelling of 326390400 in words is "three hundred twenty-six million, three hundred ninety thousand, four hundred".