242730000 has 400 divisors, whose sum is σ = 929702400. Its totient is φ = 60480000.

The previous prime is 242729951. The next prime is 242730011. The reversal of 242730000 is 37242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 7829985 + ... + 7830015.

It is an arithmetic number, because the mean of its divisors is an integer number (2324256).

Almost surely, 2^242730000 is an apocalyptic number.

242730000 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 242730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464851200).

242730000 is an abundant number, since it is smaller than the sum of its proper divisors (686972400).

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

242730000 is a wasteful number, since it uses less digits than its factorization.

242730000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 242730000 is about 15579.7946071185. The cubic root of 242730000 is about 623.7939408378.

Adding to 242730000 its reverse (37242), we get a palindrome (242767242).

The spelling of 242730000 in words is "two hundred forty-two million, seven hundred thirty thousand".