1330444080 has 360 divisors, whose sum is σ = 5324494032. Its totient is φ = 296690688.

The previous prime is 1330444069. The next prime is 1330444117. The reversal of 1330444080 is 804440331.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1516602 + ... + 1517478.

Almost surely, 2^1330444080 is an apocalyptic number.

1330444080 is a gapful number since it is divisible by the number (10) 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 1330444080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662247016).

1330444080 is an abundant number, since it is smaller than the sum of its proper divisors (3994049952).

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

1330444080 is a wasteful number, since it uses less digits than its factorization.

1330444080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1330444080 is about 36475.2529806169. The cubic root of 1330444080 is about 1099.8468326680.

The spelling of 1330444080 in words is "one billion, three hundred thirty million, four hundred forty-four thousand, eighty".