459857878272 has 216 divisors, whose sum is σ = 1458259455744. Its totient is φ = 138483781632.

The previous prime is 459857878261. The next prime is 459857878297. The reversal of 459857878272 is 272878758954.

459857878272 is a `hidden beast` number, since 4 + 598 + 5 + 7 + 8 + 7 + 8 + 27 + 2 = 666.

It is a super-2 number, since 2×459857878272² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 459857878272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244413 + ... + 1571075.

It is an arithmetic number, because the mean of its divisors is an integer number (6751201184).

Almost surely, 2^459857878272 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 459857878272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729129727872).

459857878272 is an abundant number, since it is smaller than the sum of its proper divisors (998401577472).

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

459857878272 is a wasteful number, since it uses less digits than its factorization.

459857878272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326745 (or 326728 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 72.

The spelling of 459857878272 in words is "four hundred fifty-nine billion, eight hundred fifty-seven million, eight hundred seventy-eight thousand, two hundred seventy-two".