471410944 has 81 divisors (see below), whose sum is σ = 1000626403. Its totient is φ = 221636096.

The previous prime is 471410941. The next prime is 471410963. The reversal of 471410944 is 449014174.

The square root of 471410944 is 21712.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×471410944³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (471410941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7989987 + ... + 7990045.

Almost surely, 2^471410944 is an apocalyptic number.

471410944 is the 21712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471410944

471410944 is an abundant number, since it is smaller than the sum of its proper divisors (529215459).

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

471410944 is an frugal number, since it uses more digits than its factorization.

471410944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The cubic root of 471410944 is about 778.2752510381.

The spelling of 471410944 in words is "four hundred seventy-one million, four hundred ten thousand, nine hundred forty-four".