460328320 has 128 divisors (see below), whose sum is σ = 1152053280. Its totient is φ = 175718400.

The previous prime is 460328311. The next prime is 460328327. The reversal of 460328320 is 23823064.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460328327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1390555 + ... + 1390885.

Almost surely, 2^460328320 is an apocalyptic number.

460328320 is a gapful number since it is divisible by the number (40) 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 460328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576026640).

460328320 is an abundant number, since it is smaller than the sum of its proper divisors (691724960).

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

460328320 is a wasteful number, since it uses less digits than its factorization.

460328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 460328320 is about 21455.2632237407. The cubic root of 460328320 is about 772.1278748684.

It can be divided in two parts, 4603 and 28320, that added together give a palindrome (32923).

The spelling of 460328320 in words is "four hundred sixty million, three hundred twenty-eight thousand, three hundred twenty".