242305000 has 240 divisors, whose sum is σ = 705149280. Its totient is φ = 77616000.

The previous prime is 242304991. The next prime is 242305003. The reversal of 242305000 is 503242.

It is not an unprimeable number, because it can be changed into a prime (242305003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5634979 + ... + 5635021.

It is an arithmetic number, because the mean of its divisors is an integer number (2938122).

Almost surely, 2^242305000 is an apocalyptic number.

242305000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352574640).

242305000 is an abundant number, since it is smaller than the sum of its proper divisors (462844280).

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

242305000 is a wasteful number, since it uses less digits than its factorization.

242305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 242305000 is about 15566.1491705560. The cubic root of 242305000 is about 623.4296577448.

Adding to 242305000 its reverse (503242), we get a palindrome (242808242).

The spelling of 242305000 in words is "two hundred forty-two million, three hundred five thousand".