461681973 has 24 divisors (see below), whose sum is σ = 677941056. Its totient is φ = 302702400.

The previous prime is 461681959. The next prime is 461681981. The reversal of 461681973 is 379186164.

It is a happy number.

It is not a de Polignac number, because 461681973 - 2¹⁰ = 461680949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461681923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393678 + ... + 394848.

It is an arithmetic number, because the mean of its divisors is an integer number (28247544).

Almost surely, 2^461681973 is an apocalyptic number.

It is an amenable number.

461681973 is a deficient number, since it is larger than the sum of its proper divisors (216259083).

461681973 is a wasteful number, since it uses less digits than its factorization.

461681973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1862 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 461681973 is about 21486.7860090801. The cubic root of 461681973 is about 772.8839804074.

The spelling of 461681973 in words is "four hundred sixty-one million, six hundred eighty-one thousand, nine hundred seventy-three".