327525480 has 192 divisors, whose sum is σ = 1112567040. Its totient is φ = 83483136.

The previous prime is 327525437. The next prime is 327525481. The reversal of 327525480 is 84525723.

327525480 is a `hidden beast` number, since 327 + 5 + 254 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327525481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 892257 + ... + 892623.

It is an arithmetic number, because the mean of its divisors is an integer number (5794620).

Almost surely, 2^327525480 is an apocalyptic number.

327525480 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 327525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556283520).

327525480 is an abundant number, since it is smaller than the sum of its proper divisors (785041560).

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

327525480 is a wasteful number, since it uses less digits than its factorization.

327525480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 327525480 is about 18097.6650427617. The cubic root of 327525480 is about 689.3107168292.

The spelling of 327525480 in words is "three hundred twenty-seven million, five hundred twenty-five thousand, four hundred eighty".