242562528 has 288 divisors, whose sum is σ = 815645376. Its totient is φ = 67682304.

The previous prime is 242562521. The next prime is 242562563. The reversal of 242562528 is 825265242.

242562528 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 625 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 242562492 and 242562501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242562521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2354925 + ... + 2355027.

It is an arithmetic number, because the mean of its divisors is an integer number (2832102).

Almost surely, 2^242562528 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 242562528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407822688).

242562528 is an abundant number, since it is smaller than the sum of its proper divisors (573082848).

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

242562528 is a wasteful number, since it uses less digits than its factorization.

242562528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 242562528 is about 15574.4190260825. The cubic root of 242562528 is about 623.6504452473.

The spelling of 242562528 in words is "two hundred forty-two million, five hundred sixty-two thousand, five hundred twenty-eight".