456457 has 2 divisors, whose sum is σ = 456458. Its totient is φ = 456456.

The previous prime is 456451. The next prime is 456461. The reversal of 456457 is 754654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 67081 = 624^2 + 259^2 .

It is a cyclic number.

It is not a de Polignac number, because 456457 - 2⁷ = 456329 is a prime.

It is not a weakly prime, because it can be changed into another prime (456451) 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 as a sum of consecutive naturals, namely, 228228 + 228229.

It is an arithmetic number, because the mean of its divisors is an integer number (228229).

2⁴⁵⁶⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

456457 is a deficient number, since it is larger than the sum of its proper divisors (1).

456457 is an equidigital number, since it uses as much as digits as its factorization.

456457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16800, while the sum is 31.

The square root of 456457 is about 675.6160152039. The cubic root of 456457 is about 76.9957269794.

The spelling of 456457 in words is "four hundred fifty-six thousand, four hundred fifty-seven".