456257 has 4 divisors (see below), whose sum is σ = 472020. Its totient is φ = 440496.

The previous prime is 456241. The next prime is 456283. The reversal of 456257 is 752654.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 323761 = 364^2 + 569^2 .

It is a cyclic number.

It is not a de Polignac number, because 456257 - 2⁴ = 456241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 15733 = 456257 / (4 + 5 + 6 + 2 + 5 + 7).

It is a d-powerful number, because it can be written as 4² + 5² + 2¹⁶ + 6 + 5⁸ + 7² .

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456257.

It is not an unprimeable number, because it can be changed into a prime (456457) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7838 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (118005).

2⁴⁵⁶²⁵⁷ is an apocalyptic number.

It is an amenable number.

456257 is a deficient number, since it is larger than the sum of its proper divisors (15763).

456257 is a wasteful number, since it uses less digits than its factorization.

456257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15762.

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

The square root of 456257 is about 675.4679859179. The cubic root of 456257 is about 76.9844799214.

The spelling of 456257 in words is "four hundred fifty-six thousand, two hundred fifty-seven".