242704128 has 72 divisors (see below), whose sum is σ = 655191936. Its totient is φ = 79744000.

The previous prime is 242704123. The next prime is 242704129. The reversal of 242704128 is 821407242.

It is a junction number, because it is equal to n+sod(n) for n = 242704095 and 242704104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242704123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52303 + ... + 56753.

It is an arithmetic number, because the mean of its divisors is an integer number (9099888).

Almost surely, 2^242704128 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 242704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327595968).

242704128 is an abundant number, since it is smaller than the sum of its proper divisors (412487808).

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

242704128 is an equidigital number, since it uses as much as digits as its factorization.

242704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 242704128 is about 15578.9642787959. The cubic root of 242704128 is about 623.7717771576.

The spelling of 242704128 in words is "two hundred forty-two million, seven hundred four thousand, one hundred twenty-eight".