461289380200 has 96 divisors (see below), whose sum is σ = 1171064511360. Its totient is φ = 167588633600.

The previous prime is 461289380143. The next prime is 461289380243. The reversal of 461289380200 is 2083982164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331552 + ... + 2521648.

It is an arithmetic number, because the mean of its divisors is an integer number (12198588660).

Almost surely, 2^461289380200 is an apocalyptic number.

461289380200 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 461289380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585532255680).

461289380200 is an abundant number, since it is smaller than the sum of its proper divisors (709775131160).

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

461289380200 is a wasteful number, since it uses less digits than its factorization.

461289380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191227 (or 191218 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 461289380200 in words is "four hundred sixty-one billion, two hundred eighty-nine million, three hundred eighty thousand, two hundred".