479455022914560 has 8448 divisors, whose sum is σ = 2422647727718400. Its totient is φ = 87888258662400.

The previous prime is 479455022914559. The next prime is 479455022914577. The reversal of 479455022914560 is 65419220554974.

It is a happy number.

479455022914560 is a `hidden beast` number, since 4 + 7 + 9 + 4 + 5 + 50 + 2 + 2 + 9 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (8448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1636365265774 + ... + 1636365266066.

Almost surely, 2^{479455022914560} is an apocalyptic number.

479455022914560 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 479455022914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211323863859200).

479455022914560 is an abundant number, since it is smaller than the sum of its proper divisors (1943192704803840).

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

479455022914560 is a wasteful number, since it uses less digits than its factorization.

479455022914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 479455022914560 in words is "four hundred seventy-nine trillion, four hundred fifty-five billion, twenty-two million, nine hundred fourteen thousand, five hundred sixty".