456525 has 18 divisors (see below), whose sum is σ = 818090. Its totient is φ = 243360.

The previous prime is 456523. The next prime is 456529. The reversal of 456525 is 525654.

456525 is a `hidden beast` number, since 4 + 5 + 652 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 145161 + 311364 = 381^2 + 558^2 .

It is not a de Polignac number, because 456525 - 2¹ = 456523 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 790 + ... + 1239.

2⁴⁵⁶⁵²⁵ is an apocalyptic number.

456525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456525 is a deficient number, since it is larger than the sum of its proper divisors (361565).

456525 is a wasteful number, since it uses less digits than its factorization.

456525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2037 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 456525 is about 675.6663377733. Note that the first 3 decimals coincide. The cubic root of 456525 is about 76.9995502307. Note that the first 3 decimals are identical.

The spelling of 456525 in words is "four hundred fifty-six thousand, five hundred twenty-five".