456807 has 24 divisors (see below), whose sum is σ = 711504. Its totient is φ = 259584.

The previous prime is 456791. The next prime is 456809. The reversal of 456807 is 708654.

It is a happy number.

It is not a de Polignac number, because 456807 - 2⁴ = 456791 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456807.

It is not an unprimeable number, because it can be changed into a prime (456809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8593 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (29646).

2⁴⁵⁶⁸⁰⁷ is an apocalyptic number.

456807 is a deficient number, since it is larger than the sum of its proper divisors (254697).

456807 is a wasteful number, since it uses less digits than its factorization.

456807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 456807 is about 675.8749884409. The cubic root of 456807 is about 77.0154014281.

The spelling of 456807 in words is "four hundred fifty-six thousand, eight hundred seven".