1330444800 has 180 divisors, whose sum is σ = 4761706950. Its totient is φ = 354754560.

The previous prime is 1330444757. The next prime is 1330444807. The reversal of 1330444800 is 84440331.

It can be written as a sum of positive squares in 3 ways, for example, as 1258262784 + 72182016 = 35472^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (1330444807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 109426 + ... + 120974.

Almost surely, 2^1330444800 is an apocalyptic number.

1330444800 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 1330444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380853475).

1330444800 is an abundant number, since it is smaller than the sum of its proper divisors (3431262150).

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

1330444800 is a wasteful number, since it uses less digits than its factorization.

1330444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583 (or 11559 counting only the distinct ones).

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

The square root of 1330444800 is about 36475.2628503209. The cubic root of 1330444800 is about 1099.8470310703.

The spelling of 1330444800 in words is "one billion, three hundred thirty million, four hundred forty-four thousand, eight hundred".