328416480 has 288 divisors, whose sum is σ = 1323399168. Its totient is φ = 72576000.

The previous prime is 328416469. The next prime is 328416493. The reversal of 328416480 is 84614823.

328416480 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 1 + 648 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311955 + ... + 313005.

It is an arithmetic number, because the mean of its divisors is an integer number (4595136).

Almost surely, 2^328416480 is an apocalyptic number.

328416480 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 328416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661699584).

328416480 is an abundant number, since it is smaller than the sum of its proper divisors (994982688).

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

328416480 is a wasteful number, since it uses less digits than its factorization.

328416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328416480 is about 18122.2647591299. The cubic root of 328416480 is about 689.9352176104.

The spelling of 328416480 in words is "three hundred twenty-eight million, four hundred sixteen thousand, four hundred eighty".