1314350460 has 216 divisors, whose sum is σ = 4268693520. Its totient is φ = 327269376.

The previous prime is 1314350459. The next prime is 1314350467. The reversal of 1314350460 is 640534131.

1314350460 is a `hidden beast` number, since 13 + 143 + 50 + 460 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314350467) 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, 7342651 + ... + 7342829.

It is an arithmetic number, because the mean of its divisors is an integer number (19762470).

Almost surely, 2^1314350460 is an apocalyptic number.

1314350460 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 1314350460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134346760).

1314350460 is an abundant number, since it is smaller than the sum of its proper divisors (2954343060).

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

1314350460 is a wasteful number, since it uses less digits than its factorization.

1314350460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1314350460 is about 36253.9716444971. The cubic root of 1314350460 is about 1095.3940909636.

Adding to 1314350460 its reverse (640534131), we get a palindrome (1954884591).

The spelling of 1314350460 in words is "one billion, three hundred fourteen million, three hundred fifty thousand, four hundred sixty".