471824 has 20 divisors (see below), whose sum is σ = 940044. Its totient is φ = 229248.

The previous prime is 471817. The next prime is 471841. The reversal of 471824 is 428174.

It can be written as a sum of positive squares in 2 ways, for example, as 336400 + 135424 = 580^2 + 368^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 471793 and 471802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471824.

It is an unprimeable number.

471824 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 3 ways as a sum of consecutive naturals, for example, 194 + ... + 990.

2⁴⁷¹⁸²⁴ is an apocalyptic number.

It is an amenable number.

471824 is a deficient number, since it is larger than the sum of its proper divisors (468220).

471824 is a wasteful number, since it uses less digits than its factorization.

471824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 836 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 471824 is about 686.8944605978. The cubic root of 471824 is about 77.8502496091.

Adding to 471824 its reverse (428174), we get a palindrome (899998).

It can be divided in two parts, 4 and 71824, that multiplied together give a square (287296 = 536²).

The spelling of 471824 in words is "four hundred seventy-one thousand, eight hundred twenty-four".