242310420 has 288 divisors, whose sum is σ = 875629440. Its totient is φ = 55157760.

The previous prime is 242310407. The next prime is 242310437. The reversal of 242310420 is 24013242.

242310420 is a `hidden beast` number, since 242 + 3 + 1 + 0 + 420 = 666.

242310420 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 242310393 and 242310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2144284 + ... + 2144396.

It is an arithmetic number, because the mean of its divisors is an integer number (3040380).

Almost surely, 2^242310420 is an apocalyptic number.

242310420 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 242310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437814720).

242310420 is an abundant number, since it is smaller than the sum of its proper divisors (633319020).

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

242310420 is a wasteful number, since it uses less digits than its factorization.

242310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242310420 is about 15566.3232653058. The cubic root of 242310420 is about 623.4343061061.

Adding to 242310420 its reverse (24013242), we get a palindrome (266323662).

The spelling of 242310420 in words is "two hundred forty-two million, three hundred ten thousand, four hundred twenty".