1317905280 has 384 divisors, whose sum is σ = 4946404320. Its totient is φ = 322043904.

The previous prime is 1317905233. The next prime is 1317905293. The reversal of 1317905280 is 825097131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210404 + ... + 4210716.

Almost surely, 2^1317905280 is an apocalyptic number.

1317905280 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 1317905280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473202160).

1317905280 is an abundant number, since it is smaller than the sum of its proper divisors (3628499040).

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

1317905280 is a wasteful number, since it uses less digits than its factorization.

1317905280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1317905280 is about 36302.9651681512. The cubic root of 1317905280 is about 1096.3807439841.

The spelling of 1317905280 in words is "one billion, three hundred seventeen million, nine hundred five thousand, two hundred eighty".