217450272 has 96 divisors (see below), whose sum is σ = 618952320. Its totient is φ = 66842880.

The previous prime is 217450237. The next prime is 217450327. The reversal of 217450272 is 272054712.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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, 210397 + ... + 211427.

It is an arithmetic number, because the mean of its divisors is an integer number (6447420).

Almost surely, 2^217450272 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 217450272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309476160).

217450272 is an abundant number, since it is smaller than the sum of its proper divisors (401502048).

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

217450272 is a wasteful number, since it uses less digits than its factorization.

217450272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 217450272 is about 14746.1951702804. The cubic root of 217450272 is about 601.3398502196.

The spelling of 217450272 in words is "two hundred seventeen million, four hundred fifty thousand, two hundred seventy-two".