242409600 has 288 divisors, whose sum is σ = 912553200. Its totient is φ = 61102080.

The previous prime is 242409577. The next prime is 242409641. The reversal of 242409600 is 6904242.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 546979 + ... + 547421.

Almost surely, 2^242409600 is an apocalyptic number.

242409600 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 242409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456276600).

242409600 is an abundant number, since it is smaller than the sum of its proper divisors (670143600).

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

242409600 is a wasteful number, since it uses less digits than its factorization.

242409600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 242409600 is about 15569.5086627677. The cubic root of 242409600 is about 623.5193537352.

The spelling of 242409600 in words is "two hundred forty-two million, four hundred nine thousand, six hundred".