242950400 has 432 divisors, whose sum is σ = 821197440. Its totient is φ = 68812800.

The previous prime is 242950391. The next prime is 242950439. The reversal of 242950400 is 4059242.

It is a self number, because there is not a number n which added to its sum of digits gives 242950400.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8377586 + ... + 8377614.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^242950400 is an apocalyptic number.

242950400 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 242950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410598720).

242950400 is an abundant number, since it is smaller than the sum of its proper divisors (578247040).

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

242950400 is a wasteful number, since it uses less digits than its factorization.

242950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 242950400 is about 15586.8662661871. The cubic root of 242950400 is about 623.9826863485.

The spelling of 242950400 in words is "two hundred forty-two million, nine hundred fifty thousand, four hundred".