460209212721 has 24 divisors (see below), whose sum is σ = 672246432000. Its totient is φ = 303356459232.

The previous prime is 460209212707. The next prime is 460209212731. The reversal of 460209212721 is 127212902064.

460209212721 is a `hidden beast` number, since 4 + 602 + 0 + 9 + 2 + 1 + 27 + 21 = 666.

It is not a de Polignac number, because 460209212721 - 2⁶ = 460209212657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460209212731) 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, 19791 + ... + 959588.

It is an arithmetic number, because the mean of its divisors is an integer number (28010268000).

Almost surely, 2^460209212721 is an apocalyptic number.

It is an amenable number.

460209212721 is a deficient number, since it is larger than the sum of its proper divisors (212037219279).

460209212721 is a wasteful number, since it uses less digits than its factorization.

460209212721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979973 (or 979970 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 460209212721 in words is "four hundred sixty billion, two hundred nine million, two hundred twelve thousand, seven hundred twenty-one".