242415415449 has 27 divisors (see below), whose sum is σ = 351920346687. Its totient is φ = 160799857344.

The previous prime is 242415415447. The next prime is 242415415471. The reversal of 242415415449 is 944514514242.

The square root of 242415415449 is 492357.

It is a perfect power (a square), and thus also a powerful number.

242415415449 is a `hidden beast` number, since 2 + 42 + 4 + 154 + 15 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65369705625 + 177045709824 = 255675^2 + 420768^2 .

It is not a de Polignac number, because 242415415449 - 2¹ = 242415415447 is a prime.

It is a super-2 number, since 2×242415415449² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242415415447) 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 26 ways as a sum of consecutive naturals, for example, 497772684 + ... + 497773170.

Almost surely, 2^242415415449 is an apocalyptic number.

242415415449 is the 492357-th square number.

242415415449 is the 246179-th centered octagonal number.

It is an amenable number.

242415415449 is a deficient number, since it is larger than the sum of its proper divisors (109504931238).

242415415449 is an frugal number, since it uses more digits than its factorization.

242415415449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 827 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 242415415449 in words is "two hundred forty-two billion, four hundred fifteen million, four hundred fifteen thousand, four hundred forty-nine".