218458240 has 384 divisors, whose sum is σ = 729308160. Its totient is φ = 60825600.

The previous prime is 218458231. The next prime is 218458283. The reversal of 218458240 is 42854812.

It is a junction number, because it is equal to n+sod(n) for n = 218458196 and 218458205.

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, 7047025 + ... + 7047055.

It is an arithmetic number, because the mean of its divisors is an integer number (1899240).

Almost surely, 2^218458240 is an apocalyptic number.

218458240 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 218458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364654080).

218458240 is an abundant number, since it is smaller than the sum of its proper divisors (510849920).

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

218458240 is a wasteful number, since it uses less digits than its factorization.

218458240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 218458240 is about 14780.3328785248. The cubic root of 218458240 is about 602.2675675811.

The spelling of 218458240 in words is "two hundred eighteen million, four hundred fifty-eight thousand, two hundred forty".