471564672 has 64 divisors (see below), whose sum is σ = 1256558400. Its totient is φ = 156690944.

The previous prime is 471564647. The next prime is 471564673. The reversal of 471564672 is 276465174.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471564673) 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, 131479 + ... + 135017.

It is an arithmetic number, because the mean of its divisors is an integer number (19633725).

Almost surely, 2^471564672 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 471564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628279200).

471564672 is an abundant number, since it is smaller than the sum of its proper divisors (784993728).

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

471564672 is a wasteful number, since it uses less digits than its factorization.

471564672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3891 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 471564672 is about 21715.5398735560. The cubic root of 471564672 is about 778.3598408540.

The spelling of 471564672 in words is "four hundred seventy-one million, five hundred sixty-four thousand, six hundred seventy-two".