471116160 has 192 divisors, whose sum is σ = 1646892000. Its totient is φ = 124084224.

The previous prime is 471116159. The next prime is 471116167. The reversal of 471116160 is 61611174.

471116160 is a `hidden beast` number, since 47 + 1 + 1 + 1 + 616 + 0 = 666.

471116160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471116167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512181 + ... + 513099.

Almost surely, 2^471116160 is an apocalyptic number.

471116160 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 471116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823446000).

471116160 is an abundant number, since it is smaller than the sum of its proper divisors (1175775840).

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

471116160 is a wasteful number, since it uses less digits than its factorization.

471116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 471116160 is about 21705.2104343635. The cubic root of 471116160 is about 778.1129927987.

The spelling of 471116160 in words is "four hundred seventy-one million, one hundred sixteen thousand, one hundred sixty".