460272105 has 32 divisors (see below), whose sum is σ = 820627200. Its totient is φ = 244768896.

The previous prime is 460272077. The next prime is 460272139. The reversal of 460272105 is 501272064.

It is not a de Polignac number, because 460272105 - 2⁶ = 460272041 is a prime.

It is a super-2 number, since 2×460272105² = 423700821282262050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43717 + ... + 53213.

It is an arithmetic number, because the mean of its divisors is an integer number (25644600).

Almost surely, 2^460272105 is an apocalyptic number.

460272105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460272105 is a deficient number, since it is larger than the sum of its proper divisors (360355095).

460272105 is a wasteful number, since it uses less digits than its factorization.

460272105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 9864 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 460272105 is about 21453.9531322318. The cubic root of 460272105 is about 772.0964430015.

It can be divided in two parts, 46027210 and 5, that added together give a triangular number (46027215 = T₉₅₉₄).

The spelling of 460272105 in words is "four hundred sixty million, two hundred seventy-two thousand, one hundred five".