1330794400 has 144 divisors (see below), whose sum is σ = 3585192408. Its totient is φ = 479232000.

The previous prime is 1330794389. The next prime is 1330794433. The reversal of 1330794400 is 44970331.

It can be written as a sum of positive squares in 12 ways, for example, as 432473616 + 898320784 = 20796^2 + 29972^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424840 + ... + 427960.

Almost surely, 2^1330794400 is an apocalyptic number.

1330794400 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 1330794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792596204).

1330794400 is an abundant number, since it is smaller than the sum of its proper divisors (2254398008).

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

1330794400 is a wasteful number, since it uses less digits than its factorization.

1330794400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 1330794400 is about 36480.0548245202. The cubic root of 1330794400 is about 1099.9433579649.

The spelling of 1330794400 in words is "one billion, three hundred thirty million, seven hundred ninety-four thousand, four hundred".