242646208 has 56 divisors (see below), whose sum is σ = 555447200. Its totient is φ = 103016448.

The previous prime is 242646197. The next prime is 242646211. The reversal of 242646208 is 802646242.

242646208 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 (56).

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, 46348 + ... + 51316.

It is an arithmetic number, because the mean of its divisors is an integer number (9918700).

Almost surely, 2^242646208 is an apocalyptic number.

242646208 is a gapful number since it is divisible by the number (28) 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 242646208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277723600).

242646208 is an abundant number, since it is smaller than the sum of its proper divisors (312800992).

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

242646208 is a wasteful number, since it uses less digits than its factorization.

242646208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 242646208 is about 15577.1052509765. The cubic root of 242646208 is about 623.7221533131.

Adding to 242646208 its sum of digits (34), we get a palindrome (242646242).

The spelling of 242646208 in words is "two hundred forty-two million, six hundred forty-six thousand, two hundred eight".