1330430976 has 264 divisors, whose sum is σ = 4506413184. Its totient is φ = 370114560.

The previous prime is 1330430971. The next prime is 1330431041. The reversal of 1330430976 is 6790340331.

1330430976 is a `hidden beast` number, since 133 + 0 + 430 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1330430976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330430971) 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 23 ways as a sum of consecutive naturals, for example, 2644741 + ... + 2645243.

Almost surely, 2^1330430976 is an apocalyptic number.

1330430976 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 1330430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253206592).

1330430976 is an abundant number, since it is smaller than the sum of its proper divisors (3175982208).

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

1330430976 is a wasteful number, since it uses less digits than its factorization.

1330430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1330430976 is about 36475.0733515369. The cubic root of 1330430976 is about 1099.8432217333.

The spelling of 1330430976 in words is "one billion, three hundred thirty million, four hundred thirty thousand, nine hundred seventy-six".