471008 has 24 divisors (see below), whose sum is σ = 952560. Its totient is φ = 229120.

The previous prime is 471007. The next prime is 471041. The reversal of 471008 is 800174.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1133 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁴⁷¹⁰⁰⁸ 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 471008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280).

471008 is an abundant number, since it is smaller than the sum of its proper divisors (481552).

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

471008 is a wasteful number, since it uses less digits than its factorization.

471008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 471008 is about 686.3002258487. The cubic root of 471008 is about 77.8053441213.

The spelling of 471008 in words is "four hundred seventy-one thousand, eight".