217740468 has 72 divisors (see below), whose sum is σ = 577815840. Its totient is φ = 63694400.

The previous prime is 217740409. The next prime is 217740469. The reversal of 217740468 is 864047712.

It is a super-2 number, since 2×217740468² = 94821822809718048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217740469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39523 + ... + 44693.

It is an arithmetic number, because the mean of its divisors is an integer number (8025220).

Almost surely, 2^217740468 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 217740468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288907920).

217740468 is an abundant number, since it is smaller than the sum of its proper divisors (360075372).

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

217740468 is a wasteful number, since it uses less digits than its factorization.

217740468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 217740468 is about 14756.0315803403. The cubic root of 217740468 is about 601.6072352582.

The spelling of 217740468 in words is "two hundred seventeen million, seven hundred forty thousand, four hundred sixty-eight".