218713460 has 72 divisors (see below), whose sum is σ = 542422944. Its totient is φ = 73846080.

The previous prime is 218713459. The next prime is 218713489. The reversal of 218713460 is 64317812.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63995 + ... + 67325.

It is an arithmetic number, because the mean of its divisors is an integer number (7533652).

Almost surely, 2^218713460 is an apocalyptic number.

218713460 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 218713460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271211472).

218713460 is an abundant number, since it is smaller than the sum of its proper divisors (323709484).

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

218713460 is a wasteful number, since it uses less digits than its factorization.

218713460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3421 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 218713460 is about 14788.9641287008. The cubic root of 218713460 is about 602.5020149953.

The spelling of 218713460 in words is "two hundred eighteen million, seven hundred thirteen thousand, four hundred sixty".