460461316328 has 96 divisors (see below), whose sum is σ = 989408196000. Its totient is φ = 199670995968.

The previous prime is 460461316327. The next prime is 460461316339. The reversal of 460461316328 is 823613164064.

It is a Cunningham number, because it is equal to 678573²-1.

It is not an unprimeable number, because it can be changed into a prime (460461316327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17629823 + ... + 17655921.

It is an arithmetic number, because the mean of its divisors is an integer number (10306335375).

Almost surely, 2^460461316328 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 460461316328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494704098000).

460461316328 is an abundant number, since it is smaller than the sum of its proper divisors (528946879672).

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

460461316328 is a wasteful number, since it uses less digits than its factorization.

460461316328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26739 (or 26718 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 460461316328 in words is "four hundred sixty billion, four hundred sixty-one million, three hundred sixteen thousand, three hundred twenty-eight".