242404218 has 64 divisors (see below), whose sum is σ = 630685440. Its totient is φ = 67564800.

The previous prime is 242404193. The next prime is 242404237. The reversal of 242404218 is 812404242.

242404218 is a `hidden beast` number, since 2 + 42 + 404 + 218 = 666.

It is a super-3 number, since 3×242404218³ (a number of 26 digits) contains 333 as substring.

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

It is a cake number, because a cake can be divided into 242404218 parts by 1133 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 242404191 and 242404200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7678 + ... + 23318.

It is an arithmetic number, because the mean of its divisors is an integer number (9854460).

Almost surely, 2^242404218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242404218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315342720).

242404218 is an abundant number, since it is smaller than the sum of its proper divisors (388281222).

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

242404218 is a wasteful number, since it uses less digits than its factorization.

242404218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15700 (or 15694 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 242404218 is about 15569.3358239843. The cubic root of 242404218 is about 623.5147392233.

The spelling of 242404218 in words is "two hundred forty-two million, four hundred four thousand, two hundred eighteen".