217364420 has 72 divisors (see below), whose sum is σ = 564951744. Its totient is φ = 68784768.

The previous prime is 217364419. The next prime is 217364429. The reversal of 217364420 is 24463712.

It is not an unprimeable number, because it can be changed into a prime (217364429) 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, 19067 + ... + 28253.

It is an arithmetic number, because the mean of its divisors is an integer number (7846552).

Almost surely, 2^217364420 is an apocalyptic number.

217364420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217364420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282475872).

217364420 is an abundant number, since it is smaller than the sum of its proper divisors (347587324).

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

217364420 is a wasteful number, since it uses less digits than its factorization.

217364420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9229 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 217364420 is about 14743.2838947095. The cubic root of 217364420 is about 601.2607010513.

The spelling of 217364420 in words is "two hundred seventeen million, three hundred sixty-four thousand, four hundred twenty".