459505125 has 48 divisors (see below), whose sum is σ = 832364208. Its totient is φ = 243878400.

The previous prime is 459505099. The next prime is 459505133. The reversal of 459505125 is 521505954.

It can be written as a sum of positive squares in 8 ways, for example, as 354606561 + 104898564 = 18831^2 + 10242^2 .

It is not a de Polignac number, because 459505125 - 2⁹ = 459504613 is a prime.

It is a super-2 number, since 2×459505125² = 422289919802531250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 459505125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261249 + ... + 263001.

It is an arithmetic number, because the mean of its divisors is an integer number (17340921).

Almost surely, 2^459505125 is an apocalyptic number.

459505125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

459505125 is a deficient number, since it is larger than the sum of its proper divisors (372859083).

459505125 is a wasteful number, since it uses less digits than its factorization.

459505125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 459505125 is about 21436.0706520575. The cubic root of 459505125 is about 771.6673404783.

The spelling of 459505125 in words is "four hundred fifty-nine million, five hundred five thousand, one hundred twenty-five".