242076800 has 192 divisors, whose sum is σ = 696651840. Its totient is φ = 81408000.

The previous prime is 242076763. The next prime is 242076803. The reversal of 242076800 is 8670242.

It is not an unprimeable number, because it can be changed into a prime (242076803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2262347 + ... + 2262453.

It is an arithmetic number, because the mean of its divisors is an integer number (3628395).

Almost surely, 2^242076800 is an apocalyptic number.

242076800 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 242076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348325920).

242076800 is an abundant number, since it is smaller than the sum of its proper divisors (454575040).

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

242076800 is a wasteful number, since it uses less digits than its factorization.

242076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 242076800 is about 15558.8174357822. The cubic root of 242076800 is about 623.2338833654.

The spelling of 242076800 in words is "two hundred forty-two million, seventy-six thousand, eight hundred".