461601085 has 48 divisors (see below), whose sum is σ = 662640048. Its totient is φ = 307169280.

The previous prime is 461601043. The next prime is 461601121. The reversal of 461601085 is 580106164.

It can be written as a sum of positive squares in 8 ways, for example, as 81796 + 461519289 = 286^2 + 21483^2 .

It is not a de Polignac number, because 461601085 - 2¹⁷ = 461470013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379939 + ... + 381151.

It is an arithmetic number, because the mean of its divisors is an integer number (13805001).

Almost surely, 2^461601085 is an apocalyptic number.

It is an amenable number.

461601085 is a deficient number, since it is larger than the sum of its proper divisors (201038963).

461601085 is a wasteful number, since it uses less digits than its factorization.

461601085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 461601085 is about 21484.9036534959. The cubic root of 461601085 is about 772.8388406110.

The spelling of 461601085 in words is "four hundred sixty-one million, six hundred one thousand, eighty-five".