1314427600 has 120 divisors (see below), whose sum is σ = 3360271040. Its totient is φ = 492687360.

The previous prime is 1314427589. The next prime is 1314427637. The reversal of 1314427600 is 67244131.

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 23 ways as a sum of consecutive naturals, for example, 736309 + ... + 738091.

Almost surely, 2^1314427600 is an apocalyptic number.

1314427600 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 1314427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680135520).

1314427600 is an abundant number, since it is smaller than the sum of its proper divisors (2045843440).

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

1314427600 is a wasteful number, since it uses less digits than its factorization.

1314427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1314427600 is about 36255.0355123257. The cubic root of 1314427600 is about 1095.4155203185.

The spelling of 1314427600 in words is "one billion, three hundred fourteen million, four hundred twenty-seven thousand, six hundred".