478336 has 32 divisors (see below), whose sum is σ = 988380. Its totient is φ = 230400.

The previous prime is 478321. The next prime is 478339. The reversal of 478336 is 633874.

478336 is nontrivially palindromic in base 14.

478336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 118336 = 600^2 + 344^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 478298 and 478307.

It is not an unprimeable number, because it can be changed into a prime (478339) by changing a digit.

478336 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4686 + ... + 4786.

2⁴⁷⁸³³⁶ 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 478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494190).

478336 is an abundant number, since it is smaller than the sum of its proper divisors (510044).

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

478336 is a wasteful number, since it uses less digits than its factorization.

478336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 478336 is about 691.6183918896. The cubic root of 478336 is about 78.2067711294.

The spelling of 478336 in words is "four hundred seventy-eight thousand, three hundred thirty-six".