460209072 has 20 divisors (see below), whose sum is σ = 1188873560. Its totient is φ = 153403008.

The previous prime is 460209059. The next prime is 460209073. The reversal of 460209072 is 270902064.

It is a happy number.

It is a super-2 number, since 2×460209072² = 423584779902202368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (460209073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4793797 + ... + 4793892.

It is an arithmetic number, because the mean of its divisors is an integer number (59443678).

Almost surely, 2^460209072 is an apocalyptic number.

It is an amenable number.

460209072 is an abundant number, since it is smaller than the sum of its proper divisors (728664488).

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

460209072 is a wasteful number, since it uses less digits than its factorization.

460209072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587700 (or 9587694 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 460209072 is about 21452.4840519694. The cubic root of 460209072 is about 772.0611958970.

The spelling of 460209072 in words is "four hundred sixty million, two hundred nine thousand, seventy-two".