471738528 has 72 divisors (see below), whose sum is σ = 1350180468. Its totient is φ = 156229632.

The previous prime is 471738523. The next prime is 471738529. The reversal of 471738528 is 825837174.

It can be written as a sum of positive squares in 2 ways, for example, as 471237264 + 501264 = 21708^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471738523) 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 11 ways as a sum of consecutive naturals, for example, 40000 + ... + 50432.

Almost surely, 2^471738528 is an apocalyptic number.

471738528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675090234).

471738528 is an abundant number, since it is smaller than the sum of its proper divisors (878441940).

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

471738528 is a wasteful number, since it uses less digits than its factorization.

471738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10606 (or 10595 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 471738528 is about 21719.5425366190. The cubic root of 471738528 is about 778.4554840815.

The spelling of 471738528 in words is "four hundred seventy-one million, seven hundred thirty-eight thousand, five hundred twenty-eight".