328415472 has 240 divisors, whose sum is σ = 1189423872. Its totient is φ = 85224960.

The previous prime is 328415449. The next prime is 328415489. The reversal of 328415472 is 274514823.

It is a happy number.

328415472 is a `hidden beast` number, since 32 + 84 + 1 + 547 + 2 = 666.

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (1120).

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, 298828 + ... + 299924.

Almost surely, 2^328415472 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 328415472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594711936).

328415472 is an abundant number, since it is smaller than the sum of its proper divisors (861008400).

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

328415472 is a wasteful number, since it uses less digits than its factorization.

328415472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1120 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 328415472 is about 18122.2369480150. The cubic root of 328415472 is about 689.9345117431.

The spelling of 328415472 in words is "three hundred twenty-eight million, four hundred fifteen thousand, four hundred seventy-two".