1289604480 has 512 divisors, whose sum is σ = 4758912000. Its totient is φ = 295206912.

The previous prime is 1289604473. The next prime is 1289604487. The reversal of 1289604480 is 844069821.

It is an interprime number because it is at equal distance from previous prime (1289604473) and next prime (1289604487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1289604487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24332134 + ... + 24332186.

It is an arithmetic number, because the mean of its divisors is an integer number (9294750).

Almost surely, 2^1289604480 is an apocalyptic number.

1289604480 is a gapful number since it is divisible by the number (10) 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 1289604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379456000).

1289604480 is an abundant number, since it is smaller than the sum of its proper divisors (3469307520).

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

1289604480 is a wasteful number, since it uses less digits than its factorization.

1289604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1289604480 is about 35911.0634763160. The cubic root of 1289604480 is about 1088.4759667775.

The spelling of 1289604480 in words is "one billion, two hundred eighty-nine million, six hundred four thousand, four hundred eighty".