242188800 has 480 divisors, whose sum is σ = 986401152. Its totient is φ = 51118080.

The previous prime is 242188759. The next prime is 242188811. The reversal of 242188800 is 8881242.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 4569574 + ... + 4569626.

Almost surely, 2^242188800 is an apocalyptic number.

242188800 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 242188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493200576).

242188800 is an abundant number, since it is smaller than the sum of its proper divisors (744212352).

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

242188800 is a wasteful number, since it uses less digits than its factorization.

242188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 242188800 is about 15562.4162648350. The cubic root of 242188800 is about 623.3299843173.

The spelling of 242188800 in words is "two hundred forty-two million, one hundred eighty-eight thousand, eight hundred".