471296 has 36 divisors (see below), whose sum is σ = 1079232. Its totient is φ = 201216.

The previous prime is 471283. The next prime is 471299. The reversal of 471296 is 692174.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 471296.

It is not an unprimeable number, because it can be changed into a prime (471299) by changing a digit.

471296 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, 1661 + ... + 1923.

2⁴⁷¹²⁹⁶ 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 471296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539616).

471296 is an abundant number, since it is smaller than the sum of its proper divisors (607936).

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

471296 is an equidigital number, since it uses as much as digits as its factorization.

471296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 272 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 471296 is about 686.5100144936. The cubic root of 471296 is about 77.8211990350.

It can be divided in two parts, 471 and 296, that added together give a palindrome (767).

The spelling of 471296 in words is "four hundred seventy-one thousand, two hundred ninety-six".