456005 has 8 divisors (see below), whose sum is σ = 597024. Its totient is φ = 331600.

The previous prime is 455999. The next prime is 456007. The reversal of 456005 is 500654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456005 - 2⁴ = 455989 is a prime.

It is a Duffinian number.

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 456005.

It is not an unprimeable number, because it can be changed into a prime (456007) 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 7 ways as a sum of consecutive naturals, for example, 4091 + ... + 4200.

It is an arithmetic number, because the mean of its divisors is an integer number (74628).

2⁴⁵⁶⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

456005 is a deficient number, since it is larger than the sum of its proper divisors (141019).

456005 is a wasteful number, since it uses less digits than its factorization.

456005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8307.

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 456005 is about 675.2814228157. The cubic root of 456005 is about 76.9703039477.

Adding to 456005 its reverse (500654), we get a palindrome (956659).

The spelling of 456005 in words is "four hundred fifty-six thousand, five".