456808 has 32 divisors (see below), whose sum is σ = 972000. Its totient is φ = 199360.

The previous prime is 456791. The next prime is 456809. The reversal of 456808 is 808654.

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 456808.

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 7 ways as a sum of consecutive naturals, for example, 2463 + ... + 2641.

It is an arithmetic number, because the mean of its divisors is an integer number (30375).

2⁴⁵⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486000).

456808 is an abundant number, since it is smaller than the sum of its proper divisors (515192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456808 is a wasteful number, since it uses less digits than its factorization.

456808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 456808 is about 675.8757282223. The cubic root of 456808 is about 77.0154576264.

The spelling of 456808 in words is "four hundred fifty-six thousand, eight hundred eight".