1315485360 has 360 divisors, whose sum is σ = 5333314896. Its totient is φ = 300464640.

The previous prime is 1315485359. The next prime is 1315485361. The reversal of 1315485360 is 635845131.

1315485360 is a `hidden beast` number, since 1 + 3 + 1 + 548 + 53 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1315485359) and next prime (1315485361).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1315485361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 951870 + ... + 953250.

Almost surely, 2^1315485360 is an apocalyptic number.

1315485360 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 1315485360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666657448).

1315485360 is an abundant number, since it is smaller than the sum of its proper divisors (4017829536).

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

1315485360 is a wasteful number, since it uses less digits than its factorization.

1315485360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1315485360 is about 36269.6203454075. The cubic root of 1315485360 is about 1095.7092796323.

The spelling of 1315485360 in words is "one billion, three hundred fifteen million, four hundred eighty-five thousand, three hundred sixty".