242400129 has 16 divisors (see below), whose sum is σ = 334172160. Its totient is φ = 156131280.

The previous prime is 242400121. The next prime is 242400131. The reversal of 242400129 is 921004242.

It is not a de Polignac number, because 242400129 - 2³ = 242400121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 242400099 and 242400108.

It is not an unprimeable number, because it can be changed into a prime (242400121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66964 + ... + 70490.

It is an arithmetic number, because the mean of its divisors is an integer number (20885760).

Almost surely, 2^242400129 is an apocalyptic number.

It is an amenable number.

242400129 is a deficient number, since it is larger than the sum of its proper divisors (91772031).

242400129 is a wasteful number, since it uses less digits than its factorization.

242400129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 242400129 is about 15569.2045076170. The cubic root of 242400129 is about 623.5112332803.

The spelling of 242400129 in words is "two hundred forty-two million, four hundred thousand, one hundred twenty-nine".