211718480 has 40 divisors (see below), whose sum is σ = 492939432. Its totient is φ = 84568064.

The previous prime is 211718471. The next prime is 211718483. The reversal of 211718480 is 84817112.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 210018064 = 1304^2 + 14492^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211718483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74852 + ... + 77628.

Almost surely, 2^211718480 is an apocalyptic number.

211718480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211718480 is an abundant number, since it is smaller than the sum of its proper divisors (281220952).

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

211718480 is a wasteful number, since it uses less digits than its factorization.

211718480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 32.

The square root of 211718480 is about 14550.5491305311. The cubic root of 211718480 is about 596.0091435920.

The spelling of 211718480 in words is "two hundred eleven million, seven hundred eighteen thousand, four hundred eighty".