460272267 has 128 divisors (see below), whose sum is σ = 886609920. Its totient is φ = 229547520.

The previous prime is 460272259. The next prime is 460272313. The reversal of 460272267 is 762272064.

It is not a de Polignac number, because 460272267 - 2³ = 460272259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460272217) 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 127 ways as a sum of consecutive naturals, for example, 5545408 + ... + 5545490.

It is an arithmetic number, because the mean of its divisors is an integer number (6926640).

Almost surely, 2^460272267 is an apocalyptic number.

460272267 is a deficient number, since it is larger than the sum of its proper divisors (426337653).

460272267 is a wasteful number, since it uses less digits than its factorization.

460272267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 460272267 is about 21453.9569077595. The cubic root of 460272267 is about 772.0965335853.

The spelling of 460272267 in words is "four hundred sixty million, two hundred seventy-two thousand, two hundred sixty-seven".