471104 has 28 divisors (see below), whose sum is σ = 992124. Its totient is φ = 221184.

The previous prime is 471101. The next prime is 471137. The reversal of 471104 is 401174.

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 270400 = 448^2 + 520^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 471104.

It is not an unprimeable number, because it can be changed into a prime (471101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (35433).

2⁴⁷¹¹⁰⁴ 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 471104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496062).

471104 is an abundant number, since it is smaller than the sum of its proper divisors (521020).

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

471104 is a wasteful number, since it uses less digits than its factorization.

471104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 471104 is about 686.3701625217. The cubic root of 471104 is about 77.8106298105.

Adding to 471104 its reverse (401174), we get a palindrome (872278).

It can be divided in two parts, 471 and 104, that multiplied together give a palindrome (48984).

The spelling of 471104 in words is "four hundred seventy-one thousand, one hundred four", and thus it is an iban number.