242668800 has 324 divisors, whose sum is σ = 948939264. Its totient is φ = 58675200.

The previous prime is 242668799. The next prime is 242668813. The reversal of 242668800 is 8866242.

242668800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 633409 + ... + 633791.

Almost surely, 2^242668800 is an apocalyptic number.

242668800 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 242668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474469632).

242668800 is an abundant number, since it is smaller than the sum of its proper divisors (706270464).

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

242668800 is a wasteful number, since it uses less digits than its factorization.

242668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 242668800 is about 15577.8304009255. The cubic root of 242668800 is about 623.7415102934.

The spelling of 242668800 in words is "two hundred forty-two million, six hundred sixty-eight thousand, eight hundred".