242888800 has 144 divisors (see below), whose sum is σ = 739452672. Its totient is φ = 75686400.

The previous prime is 242888783. The next prime is 242888801. The reversal of 242888800 is 8888242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242888801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59629 + ... + 63571.

It is an arithmetic number, because the mean of its divisors is an integer number (5135088).

Almost surely, 2^242888800 is an apocalyptic number.

242888800 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 242888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369726336).

242888800 is an abundant number, since it is smaller than the sum of its proper divisors (496563872).

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

242888800 is a wasteful number, since it uses less digits than its factorization.

242888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 242888800 is about 15584.8901183165. The cubic root of 242888800 is about 623.9299450173.

It can be divided in two parts, 24 and 2888800, that multiplied together give a triangular number (69331200 = T₁₁₇₇₅).

The spelling of 242888800 in words is "two hundred forty-two million, eight hundred eighty-eight thousand, eight hundred".