456025 has 24 divisors (see below), whose sum is σ = 636120. Its totient is φ = 322560.

The previous prime is 456023. The next prime is 456037. The reversal of 456025 is 520654.

It can be written as a sum of positive squares in 12 ways, for example, as 9801 + 446224 = 99^2 + 668^2 .

It is not a de Polignac number, because 456025 - 2¹ = 456023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 455987 and 456005.

It is not an unprimeable number, because it can be changed into a prime (456023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12307 + ... + 12343.

It is an arithmetic number, because the mean of its divisors is an integer number (26505).

2⁴⁵⁶⁰²⁵ is an apocalyptic number.

It is an amenable number.

456025 is a deficient number, since it is larger than the sum of its proper divisors (180095).

456025 is a wasteful number, since it uses less digits than its factorization.

456025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 456025 is about 675.2962312941. The cubic root of 456025 is about 76.9714292157.

Adding to 456025 its reverse (520654), we get a palindrome (976679).

The spelling of 456025 in words is "four hundred fifty-six thousand, twenty-five".