471744 has 140 divisors (see below), whose sum is σ = 1721104. Its totient is φ = 124416.

The previous prime is 471721. The next prime is 471749. The reversal of 471744 is 447174.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471744.

It is not an unprimeable number, because it can be changed into a prime (471749) by changing a digit.

471744 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 19 ways as a sum of consecutive naturals, for example, 36282 + ... + 36294.

2⁴⁷¹⁷⁴⁴ 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 471744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860552).

471744 is an abundant number, since it is smaller than the sum of its proper divisors (1249360).

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

471744 is a wasteful number, since it uses less digits than its factorization.

471744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 471744 is about 686.8362250202. The cubic root of 471744 is about 77.8458494006.

It can be divided in two parts, 4717 and 44, that added together give a square (4761 = 69²).

The spelling of 471744 in words is "four hundred seventy-one thousand, seven hundred forty-four", and thus it is an iban number.