455967 has 12 divisors (see below), whose sum is σ = 681720. Its totient is φ = 293328.

The previous prime is 455953. The next prime is 455969. The reversal of 455967 is 769554.

It is not a de Polignac number, because 455967 - 2⁸ = 455711 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 455967.

It is not an unprimeable number, because it can be changed into a prime (455969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 613 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (56810).

2⁴⁵⁵⁹⁶⁷ is an apocalyptic number.

455967 is a deficient number, since it is larger than the sum of its proper divisors (225753).

455967 is a wasteful number, since it uses less digits than its factorization.

455967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1779 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 455967 is about 675.2532858121. The cubic root of 455967 is about 76.9681658477.

The spelling of 455967 in words is "four hundred fifty-five thousand, nine hundred sixty-seven".