459967205564160 has 1440 divisors, whose sum is σ = 1740922577110080. Its totient is φ = 103481376768000.

The previous prime is 459967205564143. The next prime is 459967205564161. The reversal of 459967205564160 is 61465502769954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459967205564161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168547893676 + ... + 168547896404.

It is an arithmetic number, because the mean of its divisors is an integer number (1208974011882).

Almost surely, 2^{459967205564160} is an apocalyptic number.

459967205564160 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 459967205564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870461288555040).

459967205564160 is an abundant number, since it is smaller than the sum of its proper divisors (1280955371545920).

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

459967205564160 is a wasteful number, since it uses less digits than its factorization.

459967205564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 69.

The spelling of 459967205564160 in words is "four hundred fifty-nine trillion, nine hundred sixty-seven billion, two hundred five million, five hundred sixty-four thousand, one hundred sixty".