1413090756 has 180 divisors, whose sum is σ = 4502184960. Its totient is φ = 366078240.

The previous prime is 1413090739. The next prime is 1413090761. The reversal of 1413090756 is 6570903141.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1413090756.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3689341 + ... + 3689723.

Almost surely, 2^1413090756 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 1413090756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251092480).

1413090756 is an abundant number, since it is smaller than the sum of its proper divisors (3089094204).

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

1413090756 is a wasteful number, since it uses less digits than its factorization.

1413090756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1413090756 is about 37591.0994252629. The cubic root of 1413090756 is about 1122.1649123227.

Adding to 1413090756 its reverse (6570903141), we get a palindrome (7983993897).

The spelling of 1413090756 in words is "one billion, four hundred thirteen million, ninety thousand, seven hundred fifty-six".