473972052960 has 768 divisors, whose sum is σ = 1959552000000. Its totient is φ = 106938703872.

The previous prime is 473972052941. The next prime is 473972052971. The reversal of 473972052960 is 69250279374.

473972052960 is a `hidden beast` number, since 4 + 7 + 3 + 97 + 20 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 473972052897 and 473972052906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117057016 + ... + 117061064.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500000).

Almost surely, 2^473972052960 is an apocalyptic number.

473972052960 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 473972052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776000000).

473972052960 is an abundant number, since it is smaller than the sum of its proper divisors (1485579947040).

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

473972052960 is a wasteful number, since it uses less digits than its factorization.

473972052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 473972052960 in words is "four hundred seventy-three billion, nine hundred seventy-two million, fifty-two thousand, nine hundred sixty".