460447744064 has 448 divisors, whose sum is σ = 1228953600000. Its totient is φ = 169402705920.

The previous prime is 460447744049. The next prime is 460447744079.

460447744064 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (460447744049) and next prime (460447744079).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329125637 + ... + 329127035.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200000).

Almost surely, 2^460447744064 is an apocalyptic number.

460447744064 is a gapful number since it is divisible by the number (44) 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 460447744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614476800000).

460447744064 is an abundant number, since it is smaller than the sum of its proper divisors (768505855936).

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

460447744064 is a wasteful number, since it uses less digits than its factorization.

460447744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 460447744064 in words is "four hundred sixty billion, four hundred forty-seven million, seven hundred forty-four thousand, sixty-four".