326480000 has 320 divisors, whose sum is σ = 1032419520. Its totient is φ = 99840000.

The previous prime is 326479987. The next prime is 326480029. The reversal of 326480000 is 84623.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6159974 + ... + 6160026.

It is an arithmetic number, because the mean of its divisors is an integer number (3226311).

Almost surely, 2^326480000 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 326480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516209760).

326480000 is an abundant number, since it is smaller than the sum of its proper divisors (705939520).

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

326480000 is an equidigital number, since it uses as much as digits as its factorization.

326480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 326480000 is about 18068.7575665844. The cubic root of 326480000 is about 688.5764953497.

It can be divided in two parts, 32 and 6480000, that multiplied together give a 4-th power (207360000 = 120⁴).

The spelling of 326480000 in words is "three hundred twenty-six million, four hundred eighty thousand".