470467584 has 132 divisors (see below), whose sum is σ = 1379514240. Its totient is φ = 154398720.

The previous prime is 470467583. The next prime is 470467597. The reversal of 470467584 is 485764074.

470467584 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 67 + 584 = 666.

It is not an unprimeable number, because it can be changed into a prime (470467583) 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, 653977 + ... + 654695.

Almost surely, 2^470467584 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 470467584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689757120).

470467584 is an abundant number, since it is smaller than the sum of its proper divisors (909046656).

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

470467584 is a wasteful number, since it uses less digits than its factorization.

470467584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 470467584 is about 21690.2647286749. The cubic root of 470467584 is about 777.7557580584.

The spelling of 470467584 in words is "four hundred seventy million, four hundred sixty-seven thousand, five hundred eighty-four".