471648 has 48 divisors (see below), whose sum is σ = 1315440. Its totient is φ = 147968.

The previous prime is 471641. The next prime is 471649. The reversal of 471648 is 846174.

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

Its product of digits (5376) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471648.

It is not an unprimeable number, because it can be changed into a prime (471641) by changing a digit.

471648 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, 27736 + ... + 27752.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2⁴⁷¹⁶⁴⁸ is an apocalyptic number.

471648 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 471648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657720).

471648 is an abundant number, since it is smaller than the sum of its proper divisors (843792).

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

471648 is an equidigital number, since it uses as much as digits as its factorization.

471648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 22 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 471648 is about 686.7663358086. The cubic root of 471648 is about 77.8405684936.

The spelling of 471648 in words is "four hundred seventy-one thousand, six hundred forty-eight".