217086480 has 240 divisors, whose sum is σ = 815156160. Its totient is φ = 53374464.

The previous prime is 217086479. The next prime is 217086491. The reversal of 217086480 is 84680712.

217086480 is a `hidden beast` number, since 2 + 1 + 7 + 0 + 8 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252291 + ... + 253149.

It is an arithmetic number, because the mean of its divisors is an integer number (3396484).

Almost surely, 2^217086480 is an apocalyptic number.

217086480 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 217086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407578080).

217086480 is an abundant number, since it is smaller than the sum of its proper divisors (598069680).

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

217086480 is a wasteful number, since it uses less digits than its factorization.

217086480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 217086480 is about 14733.8548927292. The cubic root of 217086480 is about 601.0043179710.

The spelling of 217086480 in words is "two hundred seventeen million, eighty-six thousand, four hundred eighty".