328485456 has 240 divisors, whose sum is σ = 1052752064. Its totient is φ = 98537472.

The previous prime is 328485449. The next prime is 328485503. The reversal of 328485456 is 654584823.

It is a super-3 number, since 3×328485456³ (a number of 27 digits) contains 333 as substring.

Its product of digits (921600) is a multiple of the sum of its prime factors (200).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3386400 + ... + 3386496.

Almost surely, 2^328485456 is an apocalyptic number.

328485456 is a gapful number since it is divisible by the number (36) 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 328485456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526376032).

328485456 is an abundant number, since it is smaller than the sum of its proper divisors (724266608).

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

328485456 is a wasteful number, since it uses less digits than its factorization.

328485456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 328485456 is about 18124.1677326160. The cubic root of 328485456 is about 689.9835156742.

The spelling of 328485456 in words is "three hundred twenty-eight million, four hundred eighty-five thousand, four hundred fifty-six".