478816 has 24 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 220800.

The previous prime is 478813. The next prime is 478823. The reversal of 478816 is 618874.

478816 = 53² + 54² + ... + 116².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478811) 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, 160 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (42336).

2⁴⁷⁸⁸¹⁶ is an apocalyptic number.

It is an amenable number.

478816 is an abundant number, since it is smaller than the sum of its proper divisors (537248).

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

478816 is a wasteful number, since it uses less digits than its factorization.

478816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 478816 is about 691.9653170499. The cubic root of 478816 is about 78.2329219944.

The spelling of 478816 in words is "four hundred seventy-eight thousand, eight hundred sixteen".