218379240 has 112 divisors (see below), whose sum is σ = 736791300. Its totient is φ = 58226688.

The previous prime is 218379223. The next prime is 218379257. The reversal of 218379240 is 42973812.

It is an interprime number because it is at equal distance from previous prime (218379223) and next prime (218379257).

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 1052676 = 14742^2 + 1026^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 218379195 and 218379204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25416 + ... + 32904.

Almost surely, 2^218379240 is an apocalyptic number.

218379240 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 218379240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368395650).

218379240 is an abundant number, since it is smaller than the sum of its proper divisors (518412060).

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

218379240 is an equidigital number, since it uses as much as digits as its factorization.

218379240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 218379240 is about 14777.6601666164. The cubic root of 218379240 is about 602.1949604560.

The spelling of 218379240 in words is "two hundred eighteen million, three hundred seventy-nine thousand, two hundred forty".