242635200 has 84 divisors (see below), whose sum is σ = 796061400. Its totient is φ = 64701440.

The previous prime is 242635193. The next prime is 242635201. The reversal of 242635200 is 2536242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242635201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20475 + ... + 30074.

Almost surely, 2^242635200 is an apocalyptic number.

242635200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242635200 is an abundant number, since it is smaller than the sum of its proper divisors (553426200).

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

242635200 is a wasteful number, since it uses less digits than its factorization.

242635200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50574 (or 50559 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 242635200 is about 15576.7519078915. The cubic root of 242635200 is about 623.7127211480.

The spelling of 242635200 in words is "two hundred forty-two million, six hundred thirty-five thousand, two hundred".