1314896000 has 256 divisors, whose sum is σ = 3696675840. Its totient is φ = 460800000.

The previous prime is 1314895979. The next prime is 1314896021. The reversal of 1314896000 is 6984131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1314895979) and next prime (1314896021).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5455880 + ... + 5456120.

It is an arithmetic number, because the mean of its divisors is an integer number (14440140).

Almost surely, 2^1314896000 is an apocalyptic number.

1314896000 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 1314896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848337920).

1314896000 is an abundant number, since it is smaller than the sum of its proper divisors (2381779840).

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

1314896000 is a wasteful number, since it uses less digits than its factorization.

1314896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1314896000 is about 36261.4947292579. The cubic root of 1314896000 is about 1095.5456230071.

The spelling of 1314896000 in words is "one billion, three hundred fourteen million, eight hundred ninety-six thousand".