242402320 has 80 divisors (see below), whose sum is σ = 601555248. Its totient is φ = 90521600.

The previous prime is 242402317. The next prime is 242402327. The reversal of 242402320 is 23204242.

242402320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15116544 + 227285776 = 3888^2 + 15076^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (242402327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185670 + ... + 186970.

Almost surely, 2^242402320 is an apocalyptic number.

242402320 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 242402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300777624).

242402320 is an abundant number, since it is smaller than the sum of its proper divisors (359152928).

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

242402320 is a wasteful number, since it uses less digits than its factorization.

242402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 242402320 is about 15569.2748707189. The cubic root of 242402320 is about 623.5131118670.

Adding to 242402320 its reverse (23204242), we get a palindrome (265606562).

The spelling of 242402320 in words is "two hundred forty-two million, four hundred two thousand, three hundred twenty".