459825 has 12 divisors (see below), whose sum is σ = 760368. Its totient is φ = 245200.

The previous prime is 459817. The next prime is 459829. The reversal of 459825 is 528954.

459825 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 459825 - 2³ = 459817 is a prime.

It is a super-2 number, since 2×459825² = 422878061250, which contains 22 as substring.

459825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (459829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2991 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (63364).

2⁴⁵⁹⁸²⁵ is an apocalyptic number.

It is an amenable number.

459825 is a deficient number, since it is larger than the sum of its proper divisors (300543).

459825 is a wasteful number, since it uses less digits than its factorization.

459825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6139 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 459825 is about 678.1039743284. The cubic root of 459825 is about 77.1846359037.

It can be divided in two parts, 45 and 9825, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 459825 in words is "four hundred fifty-nine thousand, eight hundred twenty-five".