1315344000 has 256 divisors, whose sum is σ = 4436265600. Its totient is φ = 344678400.

The previous prime is 1315343957. The next prime is 1315344007. The reversal of 1315344000 is 4435131.

It is not an unprimeable number, because it can be changed into a prime (1315344007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3215796 + ... + 3216204.

Almost surely, 2^1315344000 is an apocalyptic number.

1315344000 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 1315344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218132800).

1315344000 is an abundant number, since it is smaller than the sum of its proper divisors (3120921600).

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

1315344000 is an equidigital number, since it uses as much as digits as its factorization.

1315344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1315344000 is about 36267.6715547056. The cubic root of 1315344000 is about 1095.6700304910.

Adding to 1315344000 its reverse (4435131), we get a palindrome (1319779131).

The spelling of 1315344000 in words is "one billion, three hundred fifteen million, three hundred forty-four thousand".