242456041 has 9 divisors (see below), whose sum is σ = 253830871. Its totient is φ = 231571912.

The previous prime is 242456009. The next prime is 242456063. The reversal of 242456041 is 140654242.

The square root of 242456041 is 15571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 241025625 + 1430416 = 15525^2 + 1196^2 .

It is not a de Polignac number, because 242456041 - 2⁵ = 242456009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242456741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 357795 + ... + 358471.

Almost surely, 2^242456041 is an apocalyptic number.

242456041 is the 15571-st square number.

242456041 is the 7786-th centered octagonal number.

It is an amenable number.

242456041 is a deficient number, since it is larger than the sum of its proper divisors (11374830).

242456041 is an frugal number, since it uses more digits than its factorization.

242456041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 242456041 is about 623.5591692834.

The spelling of 242456041 in words is "two hundred forty-two million, four hundred fifty-six thousand, forty-one".