478863 has 24 divisors (see below), whose sum is σ = 863616. Its totient is φ = 248400.

The previous prime is 478861. The next prime is 478871. The reversal of 478863 is 368874.

It is a Cunningham number, because it is equal to 692²-1.

It is not a de Polignac number, because 478863 - 2¹ = 478861 is a prime.

It is a D-number.

478863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478861) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (35984).

2⁴⁷⁸⁸⁶³ is an apocalyptic number.

478863 is a deficient number, since it is larger than the sum of its proper divisors (384753).

478863 is a wasteful number, since it uses less digits than its factorization.

478863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 712 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 478863 is about 691.9992774563. Note that the first 3 decimals coincide. The cubic root of 478863 is about 78.2354816604.

It can be divided in two parts, 4788 and 63, that added together give a triangular number (4851 = T₉₈).

The spelling of 478863 in words is "four hundred seventy-eight thousand, eight hundred sixty-three".