460330064332032 has 144 divisors (see below), whose sum is σ = 1267422936756480. Its totient is φ = 148149033984000.

The previous prime is 460330064332031. The next prime is 460330064332057. The reversal of 460330064332032 is 230233460033064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460330064332031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1182470857 + ... + 1182860087.

It is an arithmetic number, because the mean of its divisors is an integer number (8801548171920).

Almost surely, 2^{460330064332032} 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 460330064332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633711468378240).

460330064332032 is an abundant number, since it is smaller than the sum of its proper divisors (807092872424448).

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

460330064332032 is a wasteful number, since it uses less digits than its factorization.

460330064332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442380 (or 442366 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 39.

The spelling of 460330064332032 in words is "four hundred sixty trillion, three hundred thirty billion, sixty-four million, three hundred thirty-two thousand, thirty-two".