1313884800 has 480 divisors, whose sum is σ = 5015912220. Its totient is φ = 338411520.

The previous prime is 1313884783. The next prime is 1313884813. The reversal of 1313884800 is 84883131.

It can be written as a sum of positive squares in 6 ways, for example, as 825297984 + 488586816 = 28728^2 + 22104^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9590332 + ... + 9590468.

Almost surely, 2^1313884800 is an apocalyptic number.

1313884800 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 1313884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507956110).

1313884800 is an abundant number, since it is smaller than the sum of its proper divisors (3702027420).

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

1313884800 is a wasteful number, since it uses less digits than its factorization.

1313884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1313884800 is about 36247.5488826486. The cubic root of 1313884800 is about 1095.2647136328.

The spelling of 1313884800 in words is "one billion, three hundred thirteen million, eight hundred eighty-four thousand, eight hundred".