1320460416 has 144 divisors (see below), whose sum is σ = 4177039230. Its totient is φ = 400097280.

The previous prime is 1320460411. The next prime is 1320460447. The reversal of 1320460416 is 6140640231.

It can be written as a sum of positive squares in only one way, i.e., 768398400 + 552062016 = 27720^2 + 23496^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1320460416.

It is not an unprimeable number, because it can be changed into a prime (1320460411) 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 17 ways as a sum of consecutive naturals, for example, 134656 + ... + 144128.

Almost surely, 2^1320460416 is an apocalyptic number.

1320460416 is a gapful number since it is divisible by the number (16) 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 1320460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088519615).

1320460416 is an abundant number, since it is smaller than the sum of its proper divisors (2856578814).

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

1320460416 is a wasteful number, since it uses less digits than its factorization.

1320460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9489 counting only the distinct ones).

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

The square root of 1320460416 is about 36338.1399634048. The cubic root of 1320460416 is about 1097.0888356958.

The spelling of 1320460416 in words is "one billion, three hundred twenty million, four hundred sixty thousand, four hundred sixteen".