456905 has 4 divisors (see below), whose sum is σ = 548292. Its totient is φ = 365520.

The previous prime is 456901. The next prime is 456923. The reversal of 456905 is 509654.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 509654 = 2 ⋅254827.

It can be written as a sum of positive squares in 2 ways, for example, as 274576 + 182329 = 524^2 + 427^2 .

It is not a de Polignac number, because 456905 - 2² = 456901 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456901) 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 3 ways as a sum of consecutive naturals, for example, 45686 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (137073).

2⁴⁵⁶⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

456905 is a deficient number, since it is larger than the sum of its proper divisors (91387).

456905 is an equidigital number, since it uses as much as digits as its factorization.

456905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91386.

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 456905 is about 675.9474831671. The cubic root of 456905 is about 77.0209084728.

The spelling of 456905 in words is "four hundred fifty-six thousand, nine hundred five".