1288666404 has 81 divisors (see below), whose sum is σ = 3383461809. Its totient is φ = 413544960.

The previous prime is 1288666397. The next prime is 1288666411. The reversal of 1288666404 is 4046668821.

The square root of 1288666404 is 35898.

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

It is an interprime number because it is at equal distance from previous prime (1288666397) and next prime (1288666411).

It can be written as a sum of positive squares in only one way, i.e., 312228900 + 976437504 = 17670^2 + 31248^2 .

It is a super-2 number, since 2×1288666404² = 3321322201596582432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1288666404.

It is an unprimeable number.

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, 6676932 + ... + 6677124.

Almost surely, 2^1288666404 is an apocalyptic number.

1288666404 is the 35898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288666404

1288666404 is an abundant number, since it is smaller than the sum of its proper divisors (2094795405).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1288666404 is a wasteful number, since it uses less digits than its factorization.

1288666404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The cubic root of 1288666404 is about 1088.2119786381.

The spelling of 1288666404 in words is "one billion, two hundred eighty-eight million, six hundred sixty-six thousand, four hundred four".