218394020 has 48 divisors (see below), whose sum is σ = 497542080. Its totient is φ = 80044416.

The previous prime is 218394013. The next prime is 218394047. The reversal of 218394020 is 20493812.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33119 + ... + 39161.

It is an arithmetic number, because the mean of its divisors is an integer number (10365460).

Almost surely, 2^218394020 is an apocalyptic number.

218394020 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 218394020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248771040).

218394020 is an abundant number, since it is smaller than the sum of its proper divisors (279148060).

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

218394020 is a wasteful number, since it uses less digits than its factorization.

218394020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 218394020 is about 14778.1602373232. The cubic root of 218394020 is about 602.2085457533.

The spelling of 218394020 in words is "two hundred eighteen million, three hundred ninety-four thousand, twenty".