478813919232 has 768 divisors, whose sum is σ = 1507838492160. Its totient is φ = 133772083200.

The previous prime is 478813919231. The next prime is 478813919251. The reversal of 478813919232 is 232919318874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478813919231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6559094748 + ... + 6559094820.

It is an arithmetic number, because the mean of its divisors is an integer number (1963331370).

Almost surely, 2^478813919232 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 478813919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753919246080).

478813919232 is an abundant number, since it is smaller than the sum of its proper divisors (1029024572928).

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

478813919232 is a wasteful number, since it uses less digits than its factorization.

478813919232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 230 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 478813919232 in words is "four hundred seventy-eight billion, eight hundred thirteen million, nine hundred nineteen thousand, two hundred thirty-two".