242818848 has 72 divisors (see below), whose sum is σ = 692991936. Its totient is φ = 80649600.

The previous prime is 242818831. The next prime is 242818861. The reversal of 242818848 is 848818242.

242818848 is a `hidden beast` number, since 2 + 428 + 188 + 48 = 666.

242818848 is digitally balanced in base 2, 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 (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88213 + ... + 90923.

It is an arithmetic number, because the mean of its divisors is an integer number (9624888).

Almost surely, 2^242818848 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 242818848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346495968).

242818848 is an abundant number, since it is smaller than the sum of its proper divisors (450173088).

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

242818848 is a wasteful number, since it uses less digits than its factorization.

242818848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3038 (or 3027 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 242818848 is about 15582.6457317106. The cubic root of 242818848 is about 623.8700419696.

The spelling of 242818848 in words is "two hundred forty-two million, eight hundred eighteen thousand, eight hundred forty-eight".