1314804960 has 288 divisors, whose sum is σ = 5318756352. Its totient is φ = 300464640.

The previous prime is 1314804947. The next prime is 1314804983. The reversal of 1314804960 is 694084131.

1314804960 is a `hidden beast` number, since 131 + 480 + 49 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269745 + ... + 274575.

It is an arithmetic number, because the mean of its divisors is an integer number (18467904).

Almost surely, 2^1314804960 is an apocalyptic number.

1314804960 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 1314804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659378176).

1314804960 is an abundant number, since it is smaller than the sum of its proper divisors (4003951392).

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

1314804960 is an equidigital number, since it uses as much as digits as its factorization.

1314804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1314804960 is about 36260.2393814492. The cubic root of 1314804960 is about 1095.5203381746.

The spelling of 1314804960 in words is "one billion, three hundred fourteen million, eight hundred four thousand, nine hundred sixty".