242400315 has 32 divisors (see below), whose sum is σ = 401504256. Its totient is φ = 124750080.

The previous prime is 242400313. The next prime is 242400329. The reversal of 242400315 is 513004242.

It is not a de Polignac number, because 242400315 - 2¹ = 242400313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242400291 and 242400300.

It is not an unprimeable number, because it can be changed into a prime (242400313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253879 + ... + 254831.

It is an arithmetic number, because the mean of its divisors is an integer number (12547008).

Almost surely, 2^242400315 is an apocalyptic number.

242400315 is a deficient number, since it is larger than the sum of its proper divisors (159103941).

242400315 is a wasteful number, since it uses less digits than its factorization.

242400315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539.

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

The square root of 242400315 is about 15569.2104809460. The cubic root of 242400315 is about 623.5113927591.

Adding to 242400315 its reverse (513004242), we get a palindrome (755404557).

The spelling of 242400315 in words is "two hundred forty-two million, four hundred thousand, three hundred fifteen".