471668160 has 168 divisors, whose sum is σ = 1581674256. Its totient is φ = 119070720.

The previous prime is 471668159. The next prime is 471668203. The reversal of 471668160 is 61866174.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345880 + ... + 347240.

Almost surely, 2^471668160 is an apocalyptic number.

471668160 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 471668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790837128).

471668160 is an abundant number, since it is smaller than the sum of its proper divisors (1110006096).

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

471668160 is a wasteful number, since it uses less digits than its factorization.

471668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 471668160 is about 21717.9225525832. The cubic root of 471668160 is about 778.4167754353.

The spelling of 471668160 in words is "four hundred seventy-one million, six hundred sixty-eight thousand, one hundred sixty".