459591409560 has 256 divisors, whose sum is σ = 1446609715200. Its totient is φ = 116658597888.

The previous prime is 459591409553. The next prime is 459591409567. The reversal of 459591409560 is 65904195954.

It is an interprime number because it is at equal distance from previous prime (459591409553) and next prime (459591409567).

It is a super-2 number, since 2×459591409560² (a number of 24 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 459591409560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459591409567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83513769 + ... + 83519271.

It is an arithmetic number, because the mean of its divisors is an integer number (5650819200).

Almost surely, 2^459591409560 is an apocalyptic number.

459591409560 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 459591409560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723304857600).

459591409560 is an abundant number, since it is smaller than the sum of its proper divisors (987018305640).

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

459591409560 is a wasteful number, since it uses less digits than its factorization.

459591409560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 459591409560 in words is "four hundred fifty-nine billion, five hundred ninety-one million, four hundred nine thousand, five hundred sixty".