478716 has 48 divisors (see below), whose sum is σ = 1317120. Its totient is φ = 132480.

The previous prime is 478711. The next prime is 478727. The reversal of 478716 is 617874.

Its product of digits (9408) is a multiple of the sum of its prime divisors (192).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478711) by changing a digit.

478716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3375 + ... + 3513.

It is an arithmetic number, because the mean of its divisors is an integer number (27440).

2⁴⁷⁸⁷¹⁶ 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 478716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658560).

478716 is an abundant number, since it is smaller than the sum of its proper divisors (838404).

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

478716 is a wasteful number, since it uses less digits than its factorization.

478716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 478716 is about 691.8930553200. The cubic root of 478716 is about 78.2274753393.

The spelling of 478716 in words is "four hundred seventy-eight thousand, seven hundred sixteen".