461081740900 has 81 divisors (see below), whose sum is σ = 1099953404683. Its totient is φ = 167638926400.

The previous prime is 461081740897. The next prime is 461081740909. The reversal of 461081740900 is 9047180164.

The square root of 461081740900 is 679030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 254413307236 + 206668433664 = 504394^2 + 454608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (461081740909) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 74690214 + ... + 74696386.

Almost surely, 2^461081740900 is an apocalyptic number.

461081740900 is the 679030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461081740900

461081740900 is an abundant number, since it is smaller than the sum of its proper divisors (638871663783).

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

461081740900 is an equidigital number, since it uses as much as digits as its factorization.

461081740900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12382 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 461081740900 in words is "four hundred sixty-one billion, eighty-one million, seven hundred forty thousand, nine hundred".