479951503360 has 960 divisors, whose sum is σ = 1509903360000. Its totient is φ = 145662935040.

The previous prime is 479951503349. The next prime is 479951503373. The reversal of 479951503360 is 63305159974.

It is a junction number, because it is equal to n+sod(n) for n = 479951503298 and 479951503307.

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 63 ways as a sum of consecutive naturals, for example, 15482306545 + ... + 15482306575.

It is an arithmetic number, because the mean of its divisors is an integer number (1572816000).

Almost surely, 2^479951503360 is an apocalyptic number.

479951503360 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 479951503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754951680000).

479951503360 is an abundant number, since it is smaller than the sum of its proper divisors (1029951856640).

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

479951503360 is an equidigital number, since it uses as much as digits as its factorization.

479951503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 52.

The spelling of 479951503360 in words is "four hundred seventy-nine billion, nine hundred fifty-one million, five hundred three thousand, three hundred sixty".