1413381584 has 20 divisors (see below), whose sum is σ = 2832856260. Its totient is φ = 682321920.

The previous prime is 1413381583. The next prime is 1413381631. The reversal of 1413381584 is 4851833141.

It can be written as a sum of positive squares in 2 ways, for example, as 934647184 + 478734400 = 30572^2 + 21880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413381583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1522577 + ... + 1523504.

It is an arithmetic number, because the mean of its divisors is an integer number (141642813).

Almost surely, 2^1413381584 is an apocalyptic number.

It is an amenable number.

1413381584 is an abundant number, since it is smaller than the sum of its proper divisors (1419474676).

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

1413381584 is a wasteful number, since it uses less digits than its factorization.

1413381584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046118 (or 3046112 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 1413381584 is about 37594.9675355625. The cubic root of 1413381584 is about 1122.2418912403.

The spelling of 1413381584 in words is "one billion, four hundred thirteen million, three hundred eighty-one thousand, five hundred eighty-four".