1288625464 has 64 divisors (see below), whose sum is σ = 2847882240. Its totient is φ = 535217280.

The previous prime is 1288625407. The next prime is 1288625473. The reversal of 1288625464 is 4645268821.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 243729 + ... + 248959.

It is an arithmetic number, because the mean of its divisors is an integer number (44498160).

Almost surely, 2^1288625464 is an apocalyptic number.

1288625464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1288625464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423941120).

1288625464 is an abundant number, since it is smaller than the sum of its proper divisors (1559256776).

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

1288625464 is a wasteful number, since it uses less digits than its factorization.

1288625464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5376 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 1288625464 is about 35897.4297687174. The cubic root of 1288625464 is about 1088.2004546134.

The spelling of 1288625464 in words is "one billion, two hundred eighty-eight million, six hundred twenty-five thousand, four hundred sixty-four".