218458020 has 48 divisors (see below), whose sum is σ = 667291968. Its totient is φ = 52959360.

The previous prime is 218458013. The next prime is 218458039. The reversal of 218458020 is 20854812.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 164839 + ... + 166158.

It is an arithmetic number, because the mean of its divisors is an integer number (13901916).

Almost surely, 2^218458020 is an apocalyptic number.

218458020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218458020 is an abundant number, since it is smaller than the sum of its proper divisors (448833948).

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

218458020 is a wasteful number, since it uses less digits than its factorization.

218458020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331020 (or 331018 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 218458020 is about 14780.3254362007. The cubic root of 218458020 is about 602.2673654083.

The spelling of 218458020 in words is "two hundred eighteen million, four hundred fifty-eight thousand, twenty".