1413144306 has 160 divisors (see below), whose sum is σ = 3790765440. Its totient is φ = 384943104.

The previous prime is 1413144289. The next prime is 1413144371. The reversal of 1413144306 is 6034413141.

1413144306 is a `hidden beast` number, since 1 + 41 + 314 + 4 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1413144306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3189721 + ... + 3190163.

It is an arithmetic number, because the mean of its divisors is an integer number (23692284).

Almost surely, 2^1413144306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413144306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895382720).

1413144306 is an abundant number, since it is smaller than the sum of its proper divisors (2377621134).

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

1413144306 is a wasteful number, since it uses less digits than its factorization.

1413144306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1413144306 is about 37591.8116881855. The cubic root of 1413144306 is about 1122.1790872019.

Adding to 1413144306 its reverse (6034413141), we get a palindrome (7447557447).

The spelling of 1413144306 in words is "one billion, four hundred thirteen million, one hundred forty-four thousand, three hundred six".