479200296960 has 1440 divisors, whose sum is σ = 2167013302272. Its totient is φ = 94985256960.

The previous prime is 479200296941. The next prime is 479200297033. The reversal of 479200296960 is 69692002974.

479200296960 is a `hidden beast` number, since 479 + 20 + 0 + 2 + 96 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 479200296897 and 479200296906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1305722697 + ... + 1305723063.

Almost surely, 2^479200296960 is an apocalyptic number.

479200296960 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 479200296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083506651136).

479200296960 is an abundant number, since it is smaller than the sum of its proper divisors (1687813005312).

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

479200296960 is a wasteful number, since it uses less digits than its factorization.

479200296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 479200296960 in words is "four hundred seventy-nine billion, two hundred million, two hundred ninety-six thousand, nine hundred sixty".