1288874304 has 42 divisors (see below), whose sum is σ = 3694327130. Its totient is φ = 429624576.

The previous prime is 1288874297. The next prime is 1288874311. The reversal of 1288874304 is 4034788821.

It is an interprime number because it is at equal distance from previous prime (1288874297) and next prime (1288874311).

It can be written as a sum of positive squares in only one way, i.e., 1244678400 + 44195904 = 35280^2 + 6648^2 .

It is a super-2 number, since 2×1288874304² = 3322393943022968832, 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 1288874304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1118239 + ... + 1119390.

Almost surely, 2^1288874304 is an apocalyptic number.

It is an amenable number.

1288874304 is an abundant number, since it is smaller than the sum of its proper divisors (2405452826).

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

1288874304 is a wasteful number, since it uses less digits than its factorization.

1288874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237647 (or 2237634 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 1288874304 is about 35900.8955877148. The cubic root of 1288874304 is about 1088.2704957491.

The spelling of 1288874304 in words is "one billion, two hundred eighty-eight million, eight hundred seventy-four thousand, three hundred four".