456967 has 8 divisors (see below), whose sum is σ = 528416. Its totient is φ = 387072.

The previous prime is 456959. The next prime is 456979. The reversal of 456967 is 769654.

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

It is not a de Polignac number, because 456967 - 2³ = 456959 is a prime.

It is an Ulam number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456167) 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, 343 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (66052).

2⁴⁵⁶⁹⁶⁷ is an apocalyptic number.

456967 is a deficient number, since it is larger than the sum of its proper divisors (71449).

456967 is an equidigital number, since it uses as much as digits as its factorization.

456967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777.

The product of its digits is 45360, while the sum is 37.

The square root of 456967 is about 675.9933431625. The cubic root of 456967 is about 77.0243921148.

The spelling of 456967 in words is "four hundred fifty-six thousand, nine hundred sixty-seven".