478768 has 20 divisors (see below), whose sum is σ = 968688. Its totient is φ = 228800.

The previous prime is 478763. The next prime is 478769. The reversal of 478768 is 867874.

It is a self number, because there is not a number n which added to its sum of digits gives 478768.

It is not an unprimeable number, because it can be changed into a prime (478763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 283 + ... + 1018.

2⁴⁷⁸⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

478768 is an abundant number, since it is smaller than the sum of its proper divisors (489920).

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

478768 is a wasteful number, since it uses less digits than its factorization.

478768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its digits is 75264, while the sum is 40.

The square root of 478768 is about 691.9306323614. The cubic root of 478768 is about 78.2303076946.

The spelling of 478768 in words is "four hundred seventy-eight thousand, seven hundred sixty-eight".