456885 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 201600.

The previous prime is 456881. The next prime is 456899. The reversal of 456885 is 588654.

It is a happy number.

It is not a de Polignac number, because 456885 - 2² = 456881 is a prime.

It is a Curzon number.

456885 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6400 + ... + 6470.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2⁴⁵⁶⁸⁸⁵ is an apocalyptic number.

456885 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456885 is an abundant number, since it is smaller than the sum of its proper divisors (486603).

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

456885 is a wasteful number, since it uses less digits than its factorization.

456885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

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

The square root of 456885 is about 675.9326889565. The cubic root of 456885 is about 77.0197846501.

Subtracting 456885 from its reverse (588654), we obtain a square (131769 = 363²).

The spelling of 456885 in words is "four hundred fifty-six thousand, eight hundred eighty-five".