1413320832 has 512 divisors, whose sum is σ = 5358182400. Its totient is φ = 356106240.

The previous prime is 1413320819. The next prime is 1413320837. The reversal of 1413320832 is 2380233141.

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

It is a junction number, because it is equal to n+sod(n) for n = 1413320796 and 1413320805.

It is not an unprimeable number, because it can be changed into a prime (1413320837) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12507208 + ... + 12507320.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^1413320832 is an apocalyptic number.

1413320832 is a gapful number since it is divisible by the number (12) 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 1413320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

1413320832 is an abundant number, since it is smaller than the sum of its proper divisors (3944861568).

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

1413320832 is a wasteful number, since it uses less digits than its factorization.

1413320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

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

The square root of 1413320832 is about 37594.1595463976. The cubic root of 1413320832 is about 1122.2258117383.

Adding to 1413320832 its reverse (2380233141), we get a palindrome (3793553973).

The spelling of 1413320832 in words is "one billion, four hundred thirteen million, three hundred twenty thousand, eight hundred thirty-two".