328344480 has 144 divisors (see below), whose sum is σ = 1131477984. Its totient is φ = 86699520.

The previous prime is 328344473. The next prime is 328344493. The reversal of 328344480 is 84443823.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 153015 + ... + 155145.

It is an arithmetic number, because the mean of its divisors is an integer number (7857486).

Almost surely, 2^328344480 is an apocalyptic number.

328344480 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 328344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565738992).

328344480 is an abundant number, since it is smaller than the sum of its proper divisors (803133504).

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

328344480 is a wasteful number, since it uses less digits than its factorization.

328344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 328344480 is about 18120.2781435606. The cubic root of 328344480 is about 689.8847948807.

The spelling of 328344480 in words is "three hundred twenty-eight million, three hundred forty-four thousand, four hundred eighty".