479759350752 has 432 divisors, whose sum is σ = 1555843554720. Its totient is φ = 139960719360.

The previous prime is 479759350699. The next prime is 479759350757. The reversal of 479759350752 is 257053957974.

479759350752 is a `hidden beast` number, since 4 + 7 + 9 + 75 + 9 + 3 + 507 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 479759350752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479759350757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659916213 + ... + 659916939.

It is an arithmetic number, because the mean of its divisors is an integer number (3601489710).

Almost surely, 2^479759350752 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 479759350752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777921777360).

479759350752 is an abundant number, since it is smaller than the sum of its proper divisors (1076084203968).

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

479759350752 is a wasteful number, since it uses less digits than its factorization.

479759350752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 83349000, while the sum is 63.

The spelling of 479759350752 in words is "four hundred seventy-nine billion, seven hundred fifty-nine million, three hundred fifty thousand, seven hundred fifty-two".