479497706849280 has 2112 divisors, whose sum is σ = 1942532627742720. Its totient is φ = 100273324032000.

The previous prime is 479497706849267. The next prime is 479497706849303. The reversal of 479497706849280 is 82948607794974.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 479497706849193 and 479497706849202.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 310756776189 + ... + 310756777731.

Almost surely, 2^{479497706849280} is an apocalyptic number.

479497706849280 is a gapful number since it is divisible by the number (40) 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 479497706849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971266313871360).

479497706849280 is an abundant number, since it is smaller than the sum of its proper divisors (1463034920893440).

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

479497706849280 is a wasteful number, since it uses less digits than its factorization.

479497706849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 12290310144, while the sum is 84.

The spelling of 479497706849280 in words is "four hundred seventy-nine trillion, four hundred ninety-seven billion, seven hundred six million, eight hundred forty-nine thousand, two hundred eighty".