459488 has 24 divisors (see below), whose sum is σ = 920808. Its totient is φ = 225664.

The previous prime is 459479. The next prime is 459509. The reversal of 459488 is 884954.

It is a super-2 number, since 2×459488² = 422258444288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

459488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2570 + ... + 2742.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁴⁵⁹⁴⁸⁸ is an apocalyptic number.

It is an amenable number.

459488 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

459488 is a wasteful number, since it uses less digits than its factorization.

459488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 459488 is about 677.8554418163. The cubic root of 459488 is about 77.1657754102.

The spelling of 459488 in words is "four hundred fifty-nine thousand, four hundred eighty-eight".