242790912 has 320 divisors, whose sum is σ = 889109760. Its totient is φ = 63700992.

The previous prime is 242790869. The next prime is 242790917. The reversal of 242790912 is 219097242.

242790912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242790917) 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 31 ways as a sum of consecutive naturals, for example, 1257888 + ... + 1258080.

It is an arithmetic number, because the mean of its divisors is an integer number (2778468).

Almost surely, 2^242790912 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 242790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444554880).

242790912 is an abundant number, since it is smaller than the sum of its proper divisors (646318848).

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

242790912 is a wasteful number, since it uses less digits than its factorization.

242790912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 242790912 is about 15581.7493241292. The cubic root of 242790912 is about 623.8461159000.

It can be divided in two parts, 2427 and 90912, that added together give a palindrome (93339).

The spelling of 242790912 in words is "two hundred forty-two million, seven hundred ninety thousand, nine hundred twelve".