459845505000 has 800 divisors, whose sum is σ = 1936438891200. Its totient is φ = 99563904000.

The previous prime is 459845504953. The next prime is 459845505017. The reversal of 459845505000 is 505548954.

459845505000 is a `hidden beast` number, since 4 + 5 + 98 + 4 + 5 + 50 + 500 + 0 = 666.

It is a super-2 number, since 2×459845505000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 53860732 + ... + 53869268.

It is an arithmetic number, because the mean of its divisors is an integer number (2420548614).

Almost surely, 2^459845505000 is an apocalyptic number.

459845505000 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 459845505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968219445600).

459845505000 is an abundant number, since it is smaller than the sum of its proper divisors (1476593386200).

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

459845505000 is a wasteful number, since it uses less digits than its factorization.

459845505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 459845505000 in words is "four hundred fifty-nine billion, eight hundred forty-five million, five hundred five thousand".