242574752 has 96 divisors (see below), whose sum is σ = 569447424. Its totient is φ = 99532800.

The previous prime is 242574749. The next prime is 242574757. The reversal of 242574752 is 257475242.

It is a happy number.

242574752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242574757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256768 + ... + 1256960.

It is an arithmetic number, because the mean of its divisors is an integer number (5931744).

Almost surely, 2^242574752 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 242574752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284723712).

242574752 is an abundant number, since it is smaller than the sum of its proper divisors (326872672).

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

242574752 is a wasteful number, since it uses less digits than its factorization.

242574752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its digits is 156800, while the sum is 38.

The square root of 242574752 is about 15574.8114595330. The cubic root of 242574752 is about 623.6609214120.

It can be divided in two parts, 2425 and 74752, that added together give a palindrome (77177).

The spelling of 242574752 in words is "two hundred forty-two million, five hundred seventy-four thousand, seven hundred fifty-two".