459980947584 has 256 divisors, whose sum is σ = 1394566848000. Its totient is φ = 149188165632.

The previous prime is 459980947571. The next prime is 459980947603. The reversal of 459980947584 is 485749089954.

459980947584 is a `hidden beast` number, since 459 + 9 + 8 + 0 + 94 + 7 + 5 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 28092552 + ... + 28108920.

It is an arithmetic number, because the mean of its divisors is an integer number (5447526750).

Almost surely, 2^459980947584 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 459980947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697283424000).

459980947584 is an abundant number, since it is smaller than the sum of its proper divisors (934585900416).

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

459980947584 is a wasteful number, since it uses less digits than its factorization.

459980947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16612 (or 16594 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 459980947584 in words is "four hundred fifty-nine billion, nine hundred eighty million, nine hundred forty-seven thousand, five hundred eighty-four".