471624 has 32 divisors (see below), whose sum is σ = 1209120. Its totient is φ = 153216.

The previous prime is 471619. The next prime is 471641. The reversal of 471624 is 426174.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 471594 and 471603.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 804 + ... + 1260.

It is an arithmetic number, because the mean of its divisors is an integer number (37785).

2⁴⁷¹⁶²⁴ 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 471624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604560).

471624 is an abundant number, since it is smaller than the sum of its proper divisors (737496).

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

471624 is a wasteful number, since it uses less digits than its factorization.

471624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 471624 is about 686.7488623944. The cubic root of 471624 is about 77.8392481549.

Adding to 471624 its reverse (426174), we get a palindrome (897798).

The spelling of 471624 in words is "four hundred seventy-one thousand, six hundred twenty-four".