456825 has 12 divisors (see below), whose sum is σ = 755408. Its totient is φ = 243600.

The previous prime is 456821. The next prime is 456871. The reversal of 456825 is 528654.

It is not a de Polignac number, because 456825 - 2² = 456821 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456792 and 456801.

It is not an unprimeable number, because it can be changed into a prime (456821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2971 + ... + 3120.

2⁴⁵⁶⁸²⁵ is an apocalyptic number.

It is an amenable number.

456825 is a deficient number, since it is larger than the sum of its proper divisors (298583).

456825 is a wasteful number, since it uses less digits than its factorization.

456825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6099 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 456825 is about 675.8883043817. Note that the first 3 decimals coincide. The cubic root of 456825 is about 77.0164129852.

The spelling of 456825 in words is "four hundred fifty-six thousand, eight hundred twenty-five".