242875200 has 84 divisors (see below), whose sum is σ = 796848800. Its totient is φ = 64765440.

The previous prime is 242875189. The next prime is 242875207. The reversal of 242875200 is 2578242.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242875207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20500 + ... + 30099.

Almost surely, 2^242875200 is an apocalyptic number.

242875200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242875200 is an abundant number, since it is smaller than the sum of its proper divisors (553973600).

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

242875200 is a wasteful number, since it uses less digits than its factorization.

242875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50624 (or 50609 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 242875200 is about 15584.4537921610. The cubic root of 242875200 is about 623.9182996256.

The spelling of 242875200 in words is "two hundred forty-two million, eight hundred seventy-five thousand, two hundred".