455688 has 24 divisors (see below), whose sum is σ = 1234350. Its totient is φ = 151872.

The previous prime is 455687. The next prime is 455701. The reversal of 455688 is 886554.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 116964 = 582^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (455681) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3093 + ... + 3236.

2⁴⁵⁵⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

455688 is an abundant number, since it is smaller than the sum of its proper divisors (778662).

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

455688 is a wasteful number, since it uses less digits than its factorization.

455688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6341 (or 6334 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 455688 is about 675.0466650536. The cubic root of 455688 is about 76.9524640538.

The spelling of 455688 in words is "four hundred fifty-five thousand, six hundred eighty-eight".