459904 has 16 divisors (see below), whose sum is σ = 916470. Its totient is φ = 229888.

The previous prime is 459883. The next prime is 459913. The reversal of 459904 is 409954.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 40000 = 648^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

459904 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 (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1669 + ... + 1924.

2⁴⁵⁹⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

459904 is a deficient number, since it is larger than the sum of its proper divisors (456566).

459904 is an equidigital number, since it uses as much as digits as its factorization.

459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3607 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 459904 is about 678.1622224807. The cubic root of 459904 is about 77.1890558730.

The spelling of 459904 in words is "four hundred fifty-nine thousand, nine hundred four".