242404200 has 72 divisors (see below), whose sum is σ = 814080150. Its totient is φ = 64640640.

The previous prime is 242404193. The next prime is 242404237. The reversal of 242404200 is 2404242.

242404200 is a `hidden beast` number, since 2 + 4 + 240 + 420 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 228070404 + 14333796 = 15102^2 + 3786^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65535 + ... + 69134.

Almost surely, 2^242404200 is an apocalyptic number.

242404200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242404200 is an abundant number, since it is smaller than the sum of its proper divisors (571675950).

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

242404200 is a wasteful number, since it uses less digits than its factorization.

242404200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134691 (or 134679 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242404200 is about 15569.3352459249. The cubic root of 242404200 is about 623.5147237900.

Adding to 242404200 its reverse (2404242), we get a palindrome (244808442).

The spelling of 242404200 in words is "two hundred forty-two million, four hundred four thousand, two hundred".