471168 has 48 divisors (see below), whose sum is σ = 1359150. Its totient is φ = 156672.

The previous prime is 471161. The next prime is 471173. The reversal of 471168 is 861174.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 166464 = 552^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (471161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 948 + ... + 1356.

2⁴⁷¹¹⁶⁸ is an apocalyptic number.

471168 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 471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679575).

471168 is an abundant number, since it is smaller than the sum of its proper divisors (887982).

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

471168 is a wasteful number, since it uses less digits than its factorization.

471168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 414 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 471168 is about 686.4167830116. The cubic root of 471168 is about 77.8141532043.

The spelling of 471168 in words is "four hundred seventy-one thousand, one hundred sixty-eight".