1288504464 has 80 divisors (see below), whose sum is σ = 3643558464. Its totient is φ = 389952000.

The previous prime is 1288504433. The next prime is 1288504489. The reversal of 1288504464 is 4644058821.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21139 + ... + 54989.

Almost surely, 2^1288504464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288504464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821779232).

1288504464 is an abundant number, since it is smaller than the sum of its proper divisors (2355054000).

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

1288504464 is a wasteful number, since it uses less digits than its factorization.

1288504464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33936 (or 33930 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 1288504464 is about 35895.7443717218. The cubic root of 1288504464 is about 1088.1663934166.

The spelling of 1288504464 in words is "one billion, two hundred eighty-eight million, five hundred four thousand, four hundred sixty-four".