218930040 has 320 divisors, whose sum is σ = 862488000. Its totient is φ = 49787136.

The previous prime is 218930039. The next prime is 218930051. The reversal of 218930040 is 40039812.

218930040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 218929986 and 218930013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1111222 + ... + 1111418.

It is an arithmetic number, because the mean of its divisors is an integer number (2695275).

Almost surely, 2^218930040 is an apocalyptic number.

218930040 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 218930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431244000).

218930040 is an abundant number, since it is smaller than the sum of its proper divisors (643557960).

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

218930040 is a wasteful number, since it uses less digits than its factorization.

218930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 218930040 is about 14796.2846687944. The cubic root of 218930040 is about 602.7008243381.

Adding to 218930040 its reverse (40039812), we get a palindrome (258969852).

The spelling of 218930040 in words is "two hundred eighteen million, nine hundred thirty thousand, forty".