459478627755840 has 4032 divisors, whose sum is σ = 2188555032787200. Its totient is φ = 90165728378880.

The previous prime is 459478627755731. The next prime is 459478627755907. The reversal of 459478627755840 is 48557726874954.

459478627755840 is a `hidden beast` number, since 4 + 5 + 9 + 4 + 7 + 8 + 6 + 27 + 7 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×459478627755840² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 459478627755840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 444800219964 + ... + 444800220996.

It is an arithmetic number, because the mean of its divisors is an integer number (542796387100).

Almost surely, 2^{459478627755840} is an apocalyptic number.

459478627755840 is a gapful number since it is divisible by the number (40) 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 459478627755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094277516393600).

459478627755840 is an abundant number, since it is smaller than the sum of its proper divisors (1729076405031360).

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

459478627755840 is a wasteful number, since it uses less digits than its factorization.

459478627755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 18966528000, while the sum is 81.

The spelling of 459478627755840 in words is "four hundred fifty-nine trillion, four hundred seventy-eight billion, six hundred twenty-seven million, seven hundred fifty-five thousand, eight hundred forty".