242035200 has 360 divisors, whose sum is σ = 949867776. Its totient is φ = 58368000.

The previous prime is 242035193. The next prime is 242035201. The reversal of 242035200 is 2530242.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (242035201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267105 + ... + 1267295.

Almost surely, 2^242035200 is an apocalyptic number.

242035200 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 242035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474933888).

242035200 is an abundant number, since it is smaller than the sum of its proper divisors (707832576).

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

242035200 is a wasteful number, since it uses less digits than its factorization.

242035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 242035200 is about 15557.4805158162. The cubic root of 242035200 is about 623.1981811767.

Adding to 242035200 its reverse (2530242), we get a palindrome (244565442).

It can be divided in two parts, 24203 and 5200, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 242035200 in words is "two hundred forty-two million, thirty-five thousand, two hundred".