242605200 has 120 divisors (see below), whose sum is σ = 796261536. Its totient is φ = 63104000.

The previous prime is 242605199. The next prime is 242605201. The reversal of 242605200 is 2506242.

It is an interprime number because it is at equal distance from previous prime (242605199) and next prime (242605201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242605201) 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, 46735 + ... + 51665.

Almost surely, 2^242605200 is an apocalyptic number.

242605200 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 242605200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398130768).

242605200 is an abundant number, since it is smaller than the sum of its proper divisors (553656336).

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

242605200 is a wasteful number, since it uses less digits than its factorization.

242605200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 242605200 is about 15575.7889045788. The cubic root of 242605200 is about 623.6870143079.

The spelling of 242605200 in words is "two hundred forty-two million, six hundred five thousand, two hundred".