460257 has 24 divisors (see below), whose sum is σ = 744192. Its totient is φ = 252000.

The previous prime is 460247. The next prime is 460267. The reversal of 460257 is 752064.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (460247) and next prime (460267).

It is not a de Polignac number, because 460257 - 2¹⁰ = 459233 is a prime.

460257 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (460217) 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, 4507 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (31008).

2⁴⁶⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

460257 is a deficient number, since it is larger than the sum of its proper divisors (283935).

460257 is a wasteful number, since it uses less digits than its factorization.

460257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 460257 is about 678.4224347705. The cubic root of 460257 is about 77.2087996806.

It can be divided in two parts, 460 and 257, that added together give a palindrome (717).

The spelling of 460257 in words is "four hundred sixty thousand, two hundred fifty-seven".