456707 has 4 divisors (see below), whose sum is σ = 464256. Its totient is φ = 449160.

The previous prime is 456697. The next prime is 456727. The reversal of 456707 is 707654.

456707 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 456707 - 2⁸ = 456451 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 456707.

It is not an unprimeable number, because it can be changed into a prime (456727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3683 + ... + 3804.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

2⁴⁵⁶⁷⁰⁷ is an apocalyptic number.

456707 is a deficient number, since it is larger than the sum of its proper divisors (7549).

456707 is an equidigital number, since it uses as much as digits as its factorization.

456707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548.

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 456707 is about 675.8010062141. The cubic root of 456707 is about 77.0097811828.

The spelling of 456707 in words is "four hundred fifty-six thousand, seven hundred seven".