470459703168 has 576 divisors, whose sum is σ = 1700486161920. Its totient is φ = 123746918400.

The previous prime is 470459703083. The next prime is 470459703173. The reversal of 470459703168 is 861307954074.

470459703168 is a `hidden beast` number, since 47 + 0 + 4 + 597 + 0 + 3 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 408739393 + ... + 408740543.

It is an arithmetic number, because the mean of its divisors is an integer number (2952232920).

Almost surely, 2^470459703168 is an apocalyptic number.

470459703168 is a gapful number since it is divisible by the number (48) 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 470459703168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850243080960).

470459703168 is an abundant number, since it is smaller than the sum of its proper divisors (1230026458752).

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

470459703168 is a wasteful number, since it uses less digits than its factorization.

470459703168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 470459703168 in words is "four hundred seventy billion, four hundred fifty-nine million, seven hundred three thousand, one hundred sixty-eight".