459968 has 14 divisors (see below), whose sum is σ = 912876. Its totient is φ = 229952.

The previous prime is 459961. The next prime is 460013. The reversal of 459968 is 869954.

It is a super-2 number, since 2×459968² = 423141122048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (459961) by changing a digit.

459968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3530 + ... + 3657.

2⁴⁵⁹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

459968 is a deficient number, since it is larger than the sum of its proper divisors (452908).

459968 is an equidigital number, since it uses as much as digits as its factorization.

459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7199 (or 7189 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 459968 is about 678.2094071893. The cubic root of 459968 is about 77.1926362364.

The spelling of 459968 in words is "four hundred fifty-nine thousand, nine hundred sixty-eight".