242630304 has 192 divisors, whose sum is σ = 792207360. Its totient is φ = 63452160.

The previous prime is 242630303. The next prime is 242630363. The reversal of 242630304 is 403036242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242630303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395502 + ... + 396114.

It is an arithmetic number, because the mean of its divisors is an integer number (4126080).

Almost surely, 2^242630304 is an apocalyptic number.

242630304 is a gapful number since it is divisible by the number (24) 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 242630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396103680).

242630304 is an abundant number, since it is smaller than the sum of its proper divisors (549577056).

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

242630304 is a wasteful number, since it uses less digits than its factorization.

242630304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 242630304 is about 15576.5947498161. The cubic root of 242630304 is about 623.7085259364.

Adding to 242630304 its reverse (403036242), we get a palindrome (645666546).

The spelling of 242630304 in words is "two hundred forty-two million, six hundred thirty thousand, three hundred four".