217985472 has 112 divisors (see below), whose sum is σ = 647700000. Its totient is φ = 71884800.

The previous prime is 217985401. The next prime is 217985539. The reversal of 217985472 is 274589712.

It is a happy number.

217985472 is a `hidden beast` number, since 2 + 17 + 98 + 547 + 2 = 666.

217985472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173904 + ... + 175152.

Almost surely, 2^217985472 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 217985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323850000).

217985472 is an abundant number, since it is smaller than the sum of its proper divisors (429714528).

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

217985472 is a wasteful number, since it uses less digits than its factorization.

217985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1355 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 217985472 is about 14764.3310718772. The cubic root of 217985472 is about 601.8327957324.

The spelling of 217985472 in words is "two hundred seventeen million, nine hundred eighty-five thousand, four hundred seventy-two".