459482112000 has 448 divisors, whose sum is σ = 1699061270400. Its totient is φ = 122521190400.

The previous prime is 459482111947. The next prime is 459482112031. The reversal of 459482112000 is 211284954.

459482112000 is a `hidden beast` number, since 4 + 59 + 482 + 1 + 120 + 0 + 0 = 666.

It is a super-2 number, since 2×459482112000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27639691 + ... + 27656309.

Almost surely, 2^459482112000 is an apocalyptic number.

459482112000 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 459482112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849530635200).

459482112000 is an abundant number, since it is smaller than the sum of its proper divisors (1239579158400).

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

459482112000 is an equidigital number, since it uses as much as digits as its factorization.

459482112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16669 (or 16629 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 459482112000 its reverse (211284954), we get a palindrome (459693396954).

The spelling of 459482112000 in words is "four hundred fifty-nine billion, four hundred eighty-two million, one hundred twelve thousand".