242404512 has 96 divisors (see below), whose sum is σ = 732799872. Its totient is φ = 68726784.

The previous prime is 242404483. The next prime is 242404517. The reversal of 242404512 is 215404242.

It is a happy number.

242404512 is digitally balanced in base 3, 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242404517) 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 15 ways as a sum of consecutive naturals, for example, 90748 + ... + 93380.

It is an arithmetic number, because the mean of its divisors is an integer number (7633332).

Almost surely, 2^242404512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242404512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366399936).

242404512 is an abundant number, since it is smaller than the sum of its proper divisors (490395360).

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

242404512 is a wasteful number, since it uses less digits than its factorization.

242404512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 242404512 is about 15569.3452656173. The cubic root of 242404512 is about 623.5149912998.

Adding to 242404512 its reverse (215404242), we get a palindrome (457808754).

The spelling of 242404512 in words is "two hundred forty-two million, four hundred four thousand, five hundred twelve".