479463322752 has 216 divisors, whose sum is σ = 1443928874115. Its totient is φ = 152700016128.

The previous prime is 479463322721. The next prime is 479463322759. The reversal of 479463322752 is 257223364974.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 239731661376 + 239731661376 = 489624^2 + 489624^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=489624.

It is not an unprimeable number, because it can be changed into a prime (479463322759) 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 26 ways as a sum of consecutive naturals, for example, 540544453 + ... + 540545339.

Almost surely, 2^479463322752 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 479463322752

479463322752 is an abundant number, since it is smaller than the sum of its proper divisors (964465551363).

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

479463322752 is an frugal number, since it uses more digits than its factorization.

479463322752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 915 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 479463322752 in words is "four hundred seventy-nine billion, four hundred sixty-three million, three hundred twenty-two thousand, seven hundred fifty-two".