217438752 has 96 divisors (see below), whose sum is σ = 598207680. Its totient is φ = 69063680.

The previous prime is 217438733. The next prime is 217438763. The reversal of 217438752 is 257834712.

217438752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×217438752² = 94559221742635008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 217438752.

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, 230602 + ... + 231542.

It is an arithmetic number, because the mean of its divisors is an integer number (6231330).

Almost surely, 2^217438752 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 217438752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299103840).

217438752 is an abundant number, since it is smaller than the sum of its proper divisors (380768928).

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

217438752 is a wasteful number, since it uses less digits than its factorization.

217438752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 217438752 is about 14745.8045558728. The cubic root of 217438752 is about 601.3292308455.

The spelling of 217438752 in words is "two hundred seventeen million, four hundred thirty-eight thousand, seven hundred fifty-two".