290405665449 has 27 divisors (see below), whose sum is σ = 435651848983. Its totient is φ = 193574676744.

The previous prime is 290405665423. The next prime is 290405665541. The reversal of 290405665449 is 944566504092.

The square root of 290405665449 is 538893.

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

290405665449 is a `hidden beast` number, since 2 + 9 + 0 + 40 + 56 + 6 + 544 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7028307225 + 283377358224 = 83835^2 + 532332^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 290405665449 - 2⁹ = 290405664937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 290405665395 and 290405665404.

It is not an unprimeable number, because it can be changed into a prime (290405645449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43647007 + ... + 43653659.

Almost surely, 2^290405665449 is an apocalyptic number.

290405665449 is the 538893-rd square number.

290405665449 is the 269447-th centered octagonal number.

It is an amenable number.

290405665449 is a deficient number, since it is larger than the sum of its proper divisors (145246183534).

290405665449 is an frugal number, since it uses more digits than its factorization.

290405665449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13330 (or 6656 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 290405665449 in words is "two hundred ninety billion, four hundred five million, six hundred sixty-five thousand, four hundred forty-nine".