471306 has 32 divisors (see below), whose sum is σ = 1061568. Its totient is φ = 138240.

The previous prime is 471301. The next prime is 471313. The reversal of 471306 is 603174.

It is not an unprimeable number, because it can be changed into a prime (471301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (33174).

2⁴⁷¹³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530784).

471306 is an abundant number, since it is smaller than the sum of its proper divisors (590262).

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

471306 is a wasteful number, since it uses less digits than its factorization.

471306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 471306 is about 686.5172976699. The cubic root of 471306 is about 77.8217494368.

It can be divided in two parts, 471 and 306, that added together give a palindrome (777).

The spelling of 471306 in words is "four hundred seventy-one thousand, three hundred six".