257463 has 6 divisors (see below), whose sum is σ = 371904. Its totient is φ = 171636.

The previous prime is 257459. The next prime is 257473. The reversal of 257463 is 364752.

It is a happy number.

257463 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 257463 - 2² = 257459 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 5⁷ + 4⁵ + 7³ + 6⁶ + 3⁵ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257443) 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, 14295 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (61984).

2²⁵⁷⁴⁶³ is an apocalyptic number.

257463 is a deficient number, since it is larger than the sum of its proper divisors (114441).

257463 is a wasteful number, since it uses less digits than its factorization.

257463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28613 (or 28610 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 257463 is about 507.4081197616. The cubic root of 257463 is about 63.6167690445.

The spelling of 257463 in words is "two hundred fifty-seven thousand, four hundred sixty-three".