456985 has 4 divisors (see below), whose sum is σ = 548388. Its totient is φ = 365584.

The previous prime is 456979. The next prime is 456991. The reversal of 456985 is 589654.

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

It is an interprime number because it is at equal distance from previous prime (456979) and next prime (456991).

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 290521 = 408^2 + 539^2 .

It is a cyclic number.

It is not a de Polignac number, because 456985 - 2¹³ = 448793 is a prime.

It is a d-powerful number, because it can be written as 4⁸ + 5² + 9³ + 6 + 8² + 5⁸ .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 45694 + ... + 45703.

It is an arithmetic number, because the mean of its divisors is an integer number (137097).

2⁴⁵⁶⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

456985 is a deficient number, since it is larger than the sum of its proper divisors (91403).

456985 is an equidigital number, since it uses as much as digits as its factorization.

456985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91402.

The product of its digits is 43200, while the sum is 37.

The square root of 456985 is about 676.0066567720. The cubic root of 456985 is about 77.0254034357.

It can be divided in two parts, 456 and 985, that added together give a palindrome (1441).

The spelling of 456985 in words is "four hundred fifty-six thousand, nine hundred eighty-five".