460884834564 has 384 divisors, whose sum is σ = 1484095979520. Its totient is φ = 107638502400.

The previous prime is 460884834563. The next prime is 460884834623. The reversal of 460884834564 is 465438488064.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 460884834498 and 460884834507.

It is not an unprimeable number, because it can be changed into a prime (460884834563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52891872 + ... + 52900584.

It is an arithmetic number, because the mean of its divisors is an integer number (3864833280).

Almost surely, 2^460884834564 is an apocalyptic number.

460884834564 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 460884834564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742047989760).

460884834564 is an abundant number, since it is smaller than the sum of its proper divisors (1023211144956).

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

460884834564 is a wasteful number, since it uses less digits than its factorization.

460884834564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 60.

The spelling of 460884834564 in words is "four hundred sixty billion, eight hundred eighty-four million, eight hundred thirty-four thousand, five hundred sixty-four".