478116 has 48 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 150336.

The previous prime is 478111. The next prime is 478129. The reversal of 478116 is 611874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 478116.

It is not an unprimeable number, because it can be changed into a prime (478111) by changing a digit.

478116 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 in 15 ways as a sum of consecutive naturals, for example, 1936 + ... + 2168.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁴⁷⁸¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

478116 is an abundant number, since it is smaller than the sum of its proper divisors (832284).

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

478116 is a wasteful number, since it uses less digits than its factorization.

478116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 478116 is about 691.4593263526. The cubic root of 478116 is about 78.1947794693.

The spelling of 478116 in words is "four hundred seventy-eight thousand, one hundred sixteen".