459571200327680 has 408 divisors, whose sum is σ = 1327282003827720. Its totient is φ = 152133760450560.

The previous prime is 459571200327661. The next prime is 459571200327749. The reversal of 459571200327680 is 86723002175954.

It can be written as a sum of positive squares in 4 ways, for example, as 171034502496256 + 288536697831424 = 13078016^2 + 16986368^2 .

It is a super-2 number, since 2×459571200327680² (a number of 30 digits) contains 22 as substring.

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, 465139790 + ... + 466126770.

It is a 1-persistent number, because it is pandigital, but 2⋅459571200327680 = 919142400655360 is not.

Almost surely, 2^{459571200327680} is an apocalyptic number.

459571200327680 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 459571200327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663641001913860).

459571200327680 is an abundant number, since it is smaller than the sum of its proper divisors (867710803500040).

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

459571200327680 is an frugal number, since it uses more digits than its factorization.

459571200327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987061 (or 987024 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 459571200327680 in words is "four hundred fifty-nine trillion, five hundred seventy-one billion, two hundred million, three hundred twenty-seven thousand, six hundred eighty".