328479376 has 45 divisors (see below), whose sum is σ = 668697001. Its totient is φ = 156301376.

The previous prime is 328479337. The next prime is 328479383. The reversal of 328479376 is 673974823.

The square root of 328479376 is 18124.

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

It can be written as a sum of positive squares in only one way, i.e., 321843600 + 6635776 = 17940^2 + 2576^2 .

It is a Duffinian number.

Its product of digits (1524096) is a multiple of the sum of its prime factors (448).

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 8 ways as a sum of consecutive naturals, for example, 1667310 + ... + 1667506.

Almost surely, 2^328479376 is an apocalyptic number.

328479376 is the 18124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328479376

328479376 is an abundant number, since it is smaller than the sum of its proper divisors (340217625).

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

328479376 is an equidigital number, since it uses as much as digits as its factorization.

328479376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 222 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 49.

The cubic root of 328479376 is about 689.9792586358.

Multiplying 328479376 by its sum of digits (49), we get a square (16095489424 = 126868²).

The spelling of 328479376 in words is "three hundred twenty-eight million, four hundred seventy-nine thousand, three hundred seventy-six".