471308864 has 56 divisors (see below), whose sum is σ = 1009896888. Its totient is φ = 216944640.

The previous prime is 471308857. The next prime is 471308869. The reversal of 471308864 is 468803174.

It can be written as a sum of positive squares in 4 ways, for example, as 154753600 + 316555264 = 12440^2 + 17792^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471308869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549524 + ... + 550380.

It is an arithmetic number, because the mean of its divisors is an integer number (18033873).

Almost surely, 2^471308864 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 471308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504948444).

471308864 is an abundant number, since it is smaller than the sum of its proper divisors (538588024).

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

471308864 is a wasteful number, since it uses less digits than its factorization.

471308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 471308864 is about 21709.6490989606. The cubic root of 471308864 is about 778.2190707041.

The spelling of 471308864 in words is "four hundred seventy-one million, three hundred eight thousand, eight hundred sixty-four".