459050213160 has 768 divisors, whose sum is σ = 1968450232320. Its totient is φ = 89945856000.

The previous prime is 459050213113. The next prime is 459050213201. The reversal of 459050213160 is 61312050954.

459050213160 is a `hidden beast` number, since 4 + 5 + 90 + 502 + 1 + 3 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45261690 + ... + 45271830.

It is an arithmetic number, because the mean of its divisors is an integer number (2563086240).

Almost surely, 2^459050213160 is an apocalyptic number.

459050213160 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 459050213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984225116160).

459050213160 is an abundant number, since it is smaller than the sum of its proper divisors (1509400019160).

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

459050213160 is a wasteful number, since it uses less digits than its factorization.

459050213160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10270 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 459050213160 in words is "four hundred fifty-nine billion, fifty million, two hundred thirteen thousand, one hundred sixty".