242574304 has 72 divisors (see below), whose sum is σ = 564074280. Its totient is φ = 102364416.

The previous prime is 242574289. The next prime is 242574313. The reversal of 242574304 is 403475242.

It is a happy number.

It is a super-2 number, since 2×242574304² = 117684585922168832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103902 + ... + 106210.

It is an arithmetic number, because the mean of its divisors is an integer number (7834365).

Almost surely, 2^242574304 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 242574304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282037140).

242574304 is an abundant number, since it is smaller than the sum of its proper divisors (321499976).

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

242574304 is a wasteful number, since it uses less digits than its factorization.

242574304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The square root of 242574304 is about 15574.7970773298. The cubic root of 242574304 is about 623.6605374750.

It can be divided in two parts, 24257 and 4304, that added together give a 4-th power (28561 = 13⁴).

The spelling of 242574304 in words is "two hundred forty-two million, five hundred seventy-four thousand, three hundred four".