460875926784 has 288 divisors, whose sum is σ = 1511027359744. Its totient is φ = 121439969280.

The previous prime is 460875926729. The next prime is 460875926857. The reversal of 460875926784 is 487629578064.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102803007 + ... + 102807489.

Almost surely, 2^460875926784 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 460875926784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755513679872).

460875926784 is an abundant number, since it is smaller than the sum of its proper divisors (1050151432960).

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

460875926784 is a wasteful number, since it uses less digits than its factorization.

460875926784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5979 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 460875926784 in words is "four hundred sixty billion, eight hundred seventy-five million, nine hundred twenty-six thousand, seven hundred eighty-four".