242682800 has 60 divisors (see below), whose sum is σ = 588916176. Its totient is φ = 96096000.

The previous prime is 242682793. The next prime is 242682833. The reversal of 242682800 is 8286242.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37397 + ... + 43403.

Almost surely, 2^242682800 is an apocalyptic number.

242682800 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 242682800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294458088).

242682800 is an abundant number, since it is smaller than the sum of its proper divisors (346233376).

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

242682800 is a wasteful number, since it uses less digits than its factorization.

242682800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 6115 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 242682800 is about 15578.2797509866. The cubic root of 242682800 is about 623.7535049863.

The spelling of 242682800 in words is "two hundred forty-two million, six hundred eighty-two thousand, eight hundred".