478616832 has 108 divisors (see below), whose sum is σ = 1412354944. Its totient is φ = 155796480.

The previous prime is 478616807. The next prime is 478616833. The reversal of 478616832 is 238616874.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478616833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96657 + ... + 101487.

Almost surely, 2^478616832 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 478616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706177472).

478616832 is an abundant number, since it is smaller than the sum of its proper divisors (933738112).

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

478616832 is a wasteful number, since it uses less digits than its factorization.

478616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4879 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 478616832 is about 21877.3131805530. The cubic root of 478616832 is about 782.2207325117.

The spelling of 478616832 in words is "four hundred seventy-eight million, six hundred sixteen thousand, eight hundred thirty-two".