456867 has 8 divisors (see below), whose sum is σ = 676880. Its totient is φ = 304560.

The previous prime is 456821. The next prime is 456871. The reversal of 456867 is 768654.

It is a happy number.

It is not a de Polignac number, because 456867 - 2⁸ = 456611 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456877) 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, 8434 + ... + 8487.

It is an arithmetic number, because the mean of its divisors is an integer number (84610).

2⁴⁵⁶⁸⁶⁷ is an apocalyptic number.

456867 is a deficient number, since it is larger than the sum of its proper divisors (220013).

456867 is a wasteful number, since it uses less digits than its factorization.

456867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16924 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 456867 is about 675.9193738901. The cubic root of 456867 is about 77.0187731816.

The spelling of 456867 in words is "four hundred fifty-six thousand, eight hundred sixty-seven".