471312 has 40 divisors (see below), whose sum is σ = 1354080. Its totient is φ = 156960.

The previous prime is 471301. The next prime is 471313. The reversal of 471312 is 213174.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (471313) by changing a digit.

471312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

2⁴⁷¹³¹² 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 471312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677040).

471312 is an abundant number, since it is smaller than the sum of its proper divisors (882768).

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

471312 is a wasteful number, since it uses less digits than its factorization.

471312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1096 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 471312 is about 686.5216675386. The cubic root of 471312 is about 77.8220796741.

Adding to 471312 its reverse (213174), we get a palindrome (684486).

The spelling of 471312 in words is "four hundred seventy-one thousand, three hundred twelve", and thus it is an iban number.