409779049 has 9 divisors (see below), whose sum is σ = 424073559. Its totient is φ = 395953080.

The previous prime is 409779043. The next prime is 409779079. The reversal of 409779049 is 940977904.

The square root of 409779049 is 20243.

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., 95355225 + 314423824 = 9765^2 + 17732^2 .

It is not a de Polignac number, because 409779049 - 2¹⁹ = 409254761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 409778993 and 409779011.

It is not an unprimeable number, because it can be changed into a prime (409779043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 627207 + ... + 627859.

Almost surely, 2^409779049 is an apocalyptic number.

409779049 is the 20243-rd square number.

409779049 is the 10122-nd centered octagonal number.

It is an amenable number.

409779049 is a deficient number, since it is larger than the sum of its proper divisors (14294510).

409779049 is an frugal number, since it uses more digits than its factorization.

409779049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The cubic root of 409779049 is about 742.7624100932.

Multiplying 409779049 by its sum of digits (49), we get a square (20079173401 = 141701²).

Multiplying 409779049 by its product of nonzero digits (571536), we get a square (234203478549264 = 15303708²).

The spelling of 409779049 in words is "four hundred nine million, seven hundred seventy-nine thousand, forty-nine".