479650742928 has 540 divisors, whose sum is σ = 1699527168612. Its totient is φ = 125813882880.

The previous prime is 479650742927. The next prime is 479650743001. The reversal of 479650742928 is 829247056974.

479650742928 is a `hidden beast` number, since 479 + 6 + 5 + 0 + 74 + 2 + 92 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51133872384 + 428516870544 = 226128^2 + 654612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (479650742927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 83603676 + ... + 83609412.

Almost surely, 2^479650742928 is an apocalyptic number.

479650742928 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 479650742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849763584306).

479650742928 is an abundant number, since it is smaller than the sum of its proper divisors (1219876425684).

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

479650742928 is a wasteful number, since it uses less digits than its factorization.

479650742928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5840 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 479650742928 in words is "four hundred seventy-nine billion, six hundred fifty million, seven hundred forty-two thousand, nine hundred twenty-eight".