457268 has 18 divisors (see below), whose sum is σ = 931266. Its totient is φ = 195888.

The previous prime is 457267. The next prime is 457271. The reversal of 457268 is 862754.

457268 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 362404 + 94864 = 602^2 + 308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 971 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (51737).

2⁴⁵⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

457268 is an abundant number, since it is smaller than the sum of its proper divisors (473998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457268 is a wasteful number, since it uses less digits than its factorization.

457268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2342 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 457268 is about 676.2159418411. The cubic root of 457268 is about 77.0413001581.

The spelling of 457268 in words is "four hundred fifty-seven thousand, two hundred sixty-eight".