217348480 has 64 divisors (see below), whose sum is σ = 522219600. Its totient is φ = 86501376.

The previous prime is 217348477. The next prime is 217348489. The reversal of 217348480 is 84843712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217348489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145819 + ... + 147301.

Almost surely, 2^217348480 is an apocalyptic number.

217348480 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 217348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261109800).

217348480 is an abundant number, since it is smaller than the sum of its proper divisors (304871120).

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

217348480 is a wasteful number, since it uses less digits than its factorization.

217348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 217348480 is about 14742.7432996712. The cubic root of 217348480 is about 601.2460032612.

It can be divided in two parts, 2173 and 48480, that added together give a cube (50653 = 37³).

The spelling of 217348480 in words is "two hundred seventeen million, three hundred forty-eight thousand, four hundred eighty".