1315214400 has 252 divisors, whose sum is σ = 4449943856. Its totient is φ = 340070400.

The previous prime is 1315214363. The next prime is 1315214429. The reversal of 1315214400 is 44125131.

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 35 ways as a sum of consecutive naturals, for example, 8068719 + ... + 8068881.

Almost surely, 2^1315214400 is an apocalyptic number.

1315214400 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 1315214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224971928).

1315214400 is an abundant number, since it is smaller than the sum of its proper divisors (3134729456).

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

1315214400 is a wasteful number, since it uses less digits than its factorization.

1315214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1315214400 is about 36265.8847954934. The cubic root of 1315214400 is about 1095.6340440875.

Adding to 1315214400 its reverse (44125131), we get a palindrome (1359339531).

The spelling of 1315214400 in words is "one billion, three hundred fifteen million, two hundred fourteen thousand, four hundred".