327973464 has 144 divisors (see below), whose sum is σ = 1112922720. Its totient is φ = 86486400.

The previous prime is 327973463. The next prime is 327973483. The reversal of 327973464 is 464379723.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327973463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42289 + ... + 49439.

It is an arithmetic number, because the mean of its divisors is an integer number (7728630).

Almost surely, 2^327973464 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 327973464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556461360).

327973464 is an abundant number, since it is smaller than the sum of its proper divisors (784949256).

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

327973464 is a wasteful number, since it uses less digits than its factorization.

327973464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190 (or 7176 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 327973464 is about 18110.0376587129. The cubic root of 327973464 is about 689.6248496293.

The spelling of 327973464 in words is "three hundred twenty-seven million, nine hundred seventy-three thousand, four hundred sixty-four".