217070480 has 80 divisors (see below), whose sum is σ = 556464384. Its totient is φ = 78090240.

The previous prime is 217070479. The next prime is 217070509. The reversal of 217070480 is 84070712.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84089 + ... + 86631.

Almost surely, 2^217070480 is an apocalyptic number.

217070480 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 217070480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278232192).

217070480 is an abundant number, since it is smaller than the sum of its proper divisors (339393904).

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

217070480 is a wasteful number, since it uses less digits than its factorization.

217070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 217070480 is about 14733.3119155199. The cubic root of 217070480 is about 600.9895522652.

The spelling of 217070480 in words is "two hundred seventeen million, seventy thousand, four hundred eighty".