471005320 has 48 divisors (see below), whose sum is σ = 1095139980. Its totient is φ = 182309760.

The previous prime is 471005303. The next prime is 471005321. The reversal of 471005320 is 23500174.

It can be written as a sum of positive squares in 2 ways, for example, as 468203044 + 2802276 = 21638^2 + 1674^2 .

It is a super-2 number, since 2×471005320² = 443692022936604800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 471005291 and 471005300.

It is not an unprimeable number, because it can be changed into a prime (471005321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32314 + ... + 44566.

Almost surely, 2^471005320 is an apocalyptic number.

471005320 is a gapful number since it is divisible by the number (40) 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 471005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547569990).

471005320 is an abundant number, since it is smaller than the sum of its proper divisors (624134660).

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

471005320 is a wasteful number, since it uses less digits than its factorization.

471005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12326 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 471005320 is about 21702.6569801948. The cubic root of 471005320 is about 778.0519655220.

Adding to 471005320 its reverse (23500174), we get a palindrome (494505494).

The spelling of 471005320 in words is "four hundred seventy-one million, five thousand, three hundred twenty".