479760852960 has 384 divisors, whose sum is σ = 1753799040000. Its totient is φ = 122260064256.

The previous prime is 479760852959. The next prime is 479760853001. The reversal of 479760852960 is 69258067974.

479760852960 is a `hidden beast` number, since 47 + 9 + 7 + 6 + 0 + 8 + 529 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177753691 + ... + 177756389.

It is an arithmetic number, because the mean of its divisors is an integer number (4567185000).

Almost surely, 2^479760852960 is an apocalyptic number.

479760852960 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 479760852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876899520000).

479760852960 is an abundant number, since it is smaller than the sum of its proper divisors (1274038187040).

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

479760852960 is a wasteful number, since it uses less digits than its factorization.

479760852960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 479760852960 in words is "four hundred seventy-nine billion, seven hundred sixty million, eight hundred fifty-two thousand, nine hundred sixty".