1289245248 has 224 divisors, whose sum is σ = 3925661440. Its totient is φ = 419904000.

The previous prime is 1289245231. The next prime is 1289245253. The reversal of 1289245248 is 8425429821.

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 31 ways as a sum of consecutive naturals, for example, 8537973 + ... + 8538123.

Almost surely, 2^1289245248 is an apocalyptic number.

1289245248 is a gapful number since it is divisible by the number (18) 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 1289245248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962830720).

1289245248 is an abundant number, since it is smaller than the sum of its proper divisors (2636416192).

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

1289245248 is an frugal number, since it uses more digits than its factorization.

1289245248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 1289245248 is about 35906.0614381472. The cubic root of 1289245248 is about 1088.3748888328.

The spelling of 1289245248 in words is "one billion, two hundred eighty-nine million, two hundred forty-five thousand, two hundred forty-eight".