240930777409 has 9 divisors (see below), whose sum is σ = 280270411491. Its totient is φ = 206509149840.

The previous prime is 240930777397. The next prime is 240930777413. The reversal of 240930777409 is 904777039042.

The square root of 240930777409 is 490847.

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

It can be written as a sum of positive squares in only one way, i.e., 17542207809 + 223388569600 = 132447^2 + 472640^2 .

It is not a de Polignac number, because 240930777409 - 2²¹ = 240928680257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (240930777419) 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 8 ways as a sum of consecutive naturals, for example, 3400869 + ... + 3470989.

Almost surely, 2^240930777409 is an apocalyptic number.

240930777409 is the 490847-th square number.

240930777409 is the 245424-th centered octagonal number.

It is an amenable number.

240930777409 is a deficient number, since it is larger than the sum of its proper divisors (39339634082).

240930777409 is an frugal number, since it uses more digits than its factorization.

240930777409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140256 (or 70128 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 52.

The spelling of 240930777409 in words is "two hundred forty billion, nine hundred thirty million, seven hundred seventy-seven thousand, four hundred nine".