242591200 has 72 divisors (see below), whose sum is σ = 594993168. Its totient is φ = 96583680.

The previous prime is 242591197. The next prime is 242591227. The reversal of 242591200 is 2195242.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent 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, 209824 + ... + 210976.

It is an arithmetic number, because the mean of its divisors is an integer number (8263794).

Almost surely, 2^242591200 is an apocalyptic number.

242591200 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 242591200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297496584).

242591200 is an abundant number, since it is smaller than the sum of its proper divisors (352401968).

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

242591200 is a wasteful number, since it uses less digits than its factorization.

242591200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 242591200 is about 15575.3394826565. The cubic root of 242591200 is about 623.6750170573.

The spelling of 242591200 in words is "two hundred forty-two million, five hundred ninety-one thousand, two hundred".