242431120 has 20 divisors (see below), whose sum is σ = 563652540. Its totient is φ = 96972416.

The previous prime is 242431117. The next prime is 242431121. The reversal of 242431120 is 21134242.

It can be written as a sum of positive squares in 2 ways, for example, as 177209344 + 65221776 = 13312^2 + 8076^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×242431120³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242431121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1515115 + ... + 1515274.

It is an arithmetic number, because the mean of its divisors is an integer number (28182627).

Almost surely, 2^242431120 is an apocalyptic number.

242431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242431120 is an abundant number, since it is smaller than the sum of its proper divisors (321221420).

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

242431120 is a wasteful number, since it uses less digits than its factorization.

242431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030402 (or 3030396 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 242431120 is about 15570.1997418145. The cubic root of 242431120 is about 623.5378042414.

Adding to 242431120 its reverse (21134242), we get a palindrome (263565362).

The spelling of 242431120 in words is "two hundred forty-two million, four hundred thirty-one thousand, one hundred twenty".