242984000 has 112 divisors (see below), whose sum is σ = 687872640. Its totient is φ = 83289600.

The previous prime is 242983969. The next prime is 242984017. The reversal of 242984000 is 489242.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53831 + ... + 58169.

It is an arithmetic number, because the mean of its divisors is an integer number (6141720).

Almost surely, 2^242984000 is an apocalyptic number.

242984000 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 242984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343936320).

242984000 is an abundant number, since it is smaller than the sum of its proper divisors (444888640).

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

242984000 is an equidigital number, since it uses as much as digits as its factorization.

242984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 242984000 is about 15587.9440594326. The cubic root of 242984000 is about 624.0114505898.

The spelling of 242984000 in words is "two hundred forty-two million, nine hundred eighty-four thousand".