461680127 has 16 divisors (see below), whose sum is σ = 490821120. Its totient is φ = 433356000.

The previous prime is 461680111. The next prime is 461680151. The reversal of 461680127 is 721086164.

It is a cyclic number.

It is not a de Polignac number, because 461680127 - 2⁴ = 461680111 is a prime.

It is a super-2 number, since 2×461680127² = 426297079333472258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461680157) 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 15 ways as a sum of consecutive naturals, for example, 438752 + ... + 439802.

It is an arithmetic number, because the mean of its divisors is an integer number (30676320).

Almost surely, 2^461680127 is an apocalyptic number.

461680127 is a deficient number, since it is larger than the sum of its proper divisors (29140993).

461680127 is a wasteful number, since it uses less digits than its factorization.

461680127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 461680127 is about 21486.7430524033. The cubic root of 461680127 is about 772.8829503002.

The spelling of 461680127 in words is "four hundred sixty-one million, six hundred eighty thousand, one hundred twenty-seven".