217480 has 16 divisors (see below), whose sum is σ = 489420. Its totient is φ = 86976.

The previous prime is 217463. The next prime is 217489. The reversal of 217480 is 84712.

217480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217156 + 324 = 466^2 + 18^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (217489) by changing a digit.

217480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2679 + ... + 2758.

2²¹⁷⁴⁸⁰ is an apocalyptic number.

217480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217480 is an abundant number, since it is smaller than the sum of its proper divisors (271940).

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

217480 is a wasteful number, since it uses less digits than its factorization.

217480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 217480 is about 466.3475099108. The cubic root of 217480 is about 60.1367252372.

It can be divided in two parts, 21 and 7480, that multiplied together give a triangular number (157080 = T₅₆₀).

The spelling of 217480 in words is "two hundred seventeen thousand, four hundred eighty".