457 has 2 divisors, whose sum is σ = 458. Its totient is φ = 456.

The previous prime is 449. The next prime is 461. The reversal of 457 is 754.

457 is nontrivially palindromic in base 13.

457 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 441 + 16 = 21^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 457 - 2^{3} = 449 is a prime.

457 is an undulating number in base 13.

It is equal to p_{88} and since 457 and 88 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 7, base 9, base 10 and base 14.

It is a nialpdrome in base 8 and base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 457.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228 + 229.

It is an arithmetic number, because the mean of its divisors is an integer number (229).

It is an amenable number.

457 is a deficient number, since it is larger than the sum of its proper divisors (1).

457 is an equidigital number, since it uses as much as digits as its factorization.

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

The product of its digits is 140, while the sum is 16.

The square root of 457 is about 21.3775583264. The cubic root of 457 is about 7.7026246183.

Subtracting from 457 its sum of digits (16), we obtain a square (441 = 21^{2}).

The spelling of 457 in words is "four hundred fifty-seven", and thus it is an aban number.

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