461286005000 has 80 divisors (see below), whose sum is σ = 1081717552080. Its totient is φ = 184356584000.

The previous prime is 461286004999. The next prime is 461286005023. The reversal of 461286005000 is 500682164.

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 19 ways as a sum of consecutive naturals, for example, 5896139 + ... + 5973861.

It is an arithmetic number, because the mean of its divisors is an integer number (13521469401).

Almost surely, 2^461286005000 is an apocalyptic number.

461286005000 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 461286005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540858776040).

461286005000 is an abundant number, since it is smaller than the sum of its proper divisors (620431547080).

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

461286005000 is a wasteful number, since it uses less digits than its factorization.

461286005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78936 (or 78917 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 461286005000 its reverse (500682164), we get a palindrome (461786687164).

The spelling of 461286005000 in words is "four hundred sixty-one billion, two hundred eighty-six million, five thousand".