471968 has 48 divisors (see below), whose sum is σ = 1108800. Its totient is φ = 197568.

The previous prime is 471959. The next prime is 471997. The reversal of 471968 is 869174.

It is a Cunningham number, because it is equal to 687²-1.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

471968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10955 + ... + 10997.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2⁴⁷¹⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400).

471968 is an abundant number, since it is smaller than the sum of its proper divisors (636832).

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

471968 is an equidigital number, since it uses as much as digits as its factorization.

471968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 52 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 471968 is about 686.9992721976. Note that the first 3 decimals coincide. The cubic root of 471968 is about 77.8581687313.

The spelling of 471968 in words is "four hundred seventy-one thousand, nine hundred sixty-eight".