242430320 has 40 divisors (see below), whose sum is σ = 614893680. Its totient is φ = 88156160.

The previous prime is 242430311. The next prime is 242430341. The reversal of 242430320 is 23034242.

242430320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242430292 and 242430301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136865 + ... + 138624.

It is an arithmetic number, because the mean of its divisors is an integer number (15372342).

Almost surely, 2^242430320 is an apocalyptic number.

242430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242430320 is an abundant number, since it is smaller than the sum of its proper divisors (372463360).

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

242430320 is a wasteful number, since it uses less digits than its factorization.

242430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275513 (or 275507 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 242430320 is about 15570.1740516926. The cubic root of 242430320 is about 623.5371183685.

Adding to 242430320 its reverse (23034242), we get a palindrome (265464562).

The spelling of 242430320 in words is "two hundred forty-two million, four hundred thirty thousand, three hundred twenty".