218427240 has 128 divisors (see below), whose sum is σ = 686776320. Its totient is φ = 55507200.

The previous prime is 218427239. The next prime is 218427277. The reversal of 218427240 is 42724812.

218427240 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 218427198 and 218427207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263707 + ... + 264533.

It is an arithmetic number, because the mean of its divisors is an integer number (5365440).

Almost surely, 2^218427240 is an apocalyptic number.

218427240 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 218427240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343388160).

218427240 is an abundant number, since it is smaller than the sum of its proper divisors (468349080).

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

218427240 is a wasteful number, since it uses less digits than its factorization.

218427240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 218427240 is about 14779.2841504587. The cubic root of 218427240 is about 602.2390782646.

The spelling of 218427240 in words is "two hundred eighteen million, four hundred twenty-seven thousand, two hundred forty".