242241600 has 168 divisors, whose sum is σ = 803777920. Its totient is φ = 63866880.

The previous prime is 242241577. The next prime is 242241607. The reversal of 242241600 is 6142242.

It is not an unprimeable number, because it can be changed into a prime (242241607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522969 + ... + 523431.

Almost surely, 2^242241600 is an apocalyptic number.

242241600 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 242241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401888960).

242241600 is an abundant number, since it is smaller than the sum of its proper divisors (561536320).

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

242241600 is a wasteful number, since it uses less digits than its factorization.

242241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242241600 is about 15564.1125670563. The cubic root of 242241600 is about 623.3752787760.

Adding to 242241600 its reverse (6142242), we get a palindrome (248383842).

The spelling of 242241600 in words is "two hundred forty-two million, two hundred forty-one thousand, six hundred".