470064016 has 40 divisors (see below), whose sum is σ = 965172600. Its totient is φ = 221383680.

The previous prime is 470064011. The next prime is 470064019. The reversal of 470064016 is 610460074.

It can be written as a sum of positive squares in 4 ways, for example, as 20793600 + 449270416 = 4560^2 + 21196^2 .

It is not an unprimeable number, because it can be changed into a prime (470064011) 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 7 ways as a sum of consecutive naturals, for example, 6670 + ... + 31378.

It is an arithmetic number, because the mean of its divisors is an integer number (24129315).

Almost surely, 2^470064016 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 470064016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482586300).

470064016 is an abundant number, since it is smaller than the sum of its proper divisors (495108584).

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

470064016 is a wasteful number, since it uses less digits than its factorization.

470064016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24787 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 470064016 is about 21680.9597573539. The cubic root of 470064016 is about 777.5333076442.

The spelling of 470064016 in words is "four hundred seventy million, sixty-four thousand, sixteen".