242456456 has 96 divisors (see below), whose sum is σ = 531930240. Its totient is φ = 102672000.

The previous prime is 242456453. The next prime is 242456471. The reversal of 242456456 is 654654242.

It is not an unprimeable number, because it can be changed into a prime (242456453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3974666 + ... + 3974726.

It is an arithmetic number, because the mean of its divisors is an integer number (5540940).

Almost surely, 2^242456456 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 242456456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265965120).

242456456 is an abundant number, since it is smaller than the sum of its proper divisors (289473784).

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

242456456 is a wasteful number, since it uses less digits than its factorization.

242456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 152 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 242456456 is about 15571.0133260491. The cubic root of 242456456 is about 623.5595250550.

The spelling of 242456456 in words is "two hundred forty-two million, four hundred fifty-six thousand, four hundred fifty-six".