479533436928 has 780 divisors, whose sum is σ = 1795357932060. Its totient is φ = 126414618624.

The previous prime is 479533436909. The next prime is 479533436933. The reversal of 479533436928 is 829634335974.

479533436928 is a `hidden beast` number, since 4 + 7 + 9 + 533 + 4 + 3 + 6 + 92 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42284519424 + 437248917504 = 205632^2 + 661248^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 211340178 + ... + 211342446.

Almost surely, 2^479533436928 is an apocalyptic number.

479533436928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479533436928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897678966030).

479533436928 is an abundant number, since it is smaller than the sum of its proper divisors (1315824495132).

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

479533436928 is a wasteful number, since it uses less digits than its factorization.

479533436928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2332 (or 2294 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 63.

The spelling of 479533436928 in words is "four hundred seventy-nine billion, five hundred thirty-three million, four hundred thirty-six thousand, nine hundred twenty-eight".