465257 has 6 divisors (see below), whose sum is σ = 503982. Its totient is φ = 429312.

The previous prime is 465211. The next prime is 465259. The reversal of 465257 is 752564.

It can be written as a sum of positive squares in 3 ways, for example, as 30976 + 434281 = 176^2 + 659^2 .

It is not a de Polignac number, because 465257 - 2¹⁴ = 448873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465259) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1208 + ... + 1545.

It is an arithmetic number, because the mean of its divisors is an integer number (83997).

2⁴⁶⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

465257 is a deficient number, since it is larger than the sum of its proper divisors (38725).

465257 is a wasteful number, since it uses less digits than its factorization.

465257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2766 counting only the distinct ones).

The product of its digits is 8400, while the sum is 29.

The square root of 465257 is about 682.0975003619. The cubic root of 465257 is about 77.4873791449.

The spelling of 465257 in words is "four hundred sixty-five thousand, two hundred fifty-seven".