1413005984 has 108 divisors (see below), whose sum is σ = 3194751294. Its totient is φ = 611463168.

The previous prime is 1413005933. The next prime is 1413006011. The reversal of 1413005984 is 4895003141.

It can be written as a sum of positive squares in 3 ways, for example, as 910349584 + 502656400 = 30172^2 + 22420^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14567024 + ... + 14567120.

Almost surely, 2^1413005984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413005984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597375647).

1413005984 is an abundant number, since it is smaller than the sum of its proper divisors (1781745310).

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

1413005984 is an equidigital number, since it uses as much as digits as its factorization.

1413005984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1413005984 is about 37589.9718542060. The cubic root of 1413005984 is about 1122.1424721348.

The spelling of 1413005984 in words is "one billion, four hundred thirteen million, five thousand, nine hundred eighty-four".