456506 has 16 divisors (see below), whose sum is σ = 729600. Its totient is φ = 213840.

The previous prime is 456503. The next prime is 456517. The reversal of 456506 is 605654.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456503) 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 7 ways as a sum of consecutive naturals, for example, 2195 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

2⁴⁵⁶⁵⁰⁶ is an apocalyptic number.

456506 is a deficient number, since it is larger than the sum of its proper divisors (273094).

456506 is a wasteful number, since it uses less digits than its factorization.

456506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 456506 is about 675.6522774327. The cubic root of 456506 is about 76.9984820075.

The spelling of 456506 in words is "four hundred fifty-six thousand, five hundred six".