242124400 has 120 divisors (see below), whose sum is σ = 680603264. Its totient is φ = 81043200.

The previous prime is 242124383. The next prime is 242124457. The reversal of 242124400 is 4421242.

242124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119395 + ... + 121405.

Almost surely, 2^242124400 is an apocalyptic number.

242124400 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 242124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340301632).

242124400 is an abundant number, since it is smaller than the sum of its proper divisors (438478864).

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

242124400 is a wasteful number, since it uses less digits than its factorization.

242124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 242124400 is about 15560.3470398317. The cubic root of 242124400 is about 623.2747298911.

Adding to 242124400 its reverse (4421242), we get a palindrome (246545642).

The spelling of 242124400 in words is "two hundred forty-two million, one hundred twenty-four thousand, four hundred".