456225 has 48 divisors (see below), whose sum is σ = 952320. Its totient is φ = 187200.

The previous prime is 456223. The next prime is 456233. The reversal of 456225 is 522654.

It is not a de Polignac number, because 456225 - 2¹ = 456223 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 456195 and 456204.

It is not an unprimeable number, because it can be changed into a prime (456223) 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, 5736 + ... + 5814.

It is an arithmetic number, because the mean of its divisors is an integer number (19840).

2⁴⁵⁶²²⁵ is an apocalyptic number.

It is an amenable number.

456225 is an abundant number, since it is smaller than the sum of its proper divisors (496095).

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

456225 is a wasteful number, since it uses less digits than its factorization.

456225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 456225 is about 675.4442982215. Note that the first 3 decimals coincide. The cubic root of 456225 is about 76.9826800871.

Adding to 456225 its reverse (522654), we get a palindrome (978879).

The spelling of 456225 in words is "four hundred fifty-six thousand, two hundred twenty-five".