1330475760 has 320 divisors, whose sum is σ = 5110387200. Its totient is φ = 316182528.

The previous prime is 1330475753. The next prime is 1330475761. The reversal of 1330475760 is 675740331.

1330475760 is a `hidden beast` number, since 13 + 30 + 47 + 576 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330475761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 696727 + ... + 698633.

It is an arithmetic number, because the mean of its divisors is an integer number (15969960).

Almost surely, 2^1330475760 is an apocalyptic number.

1330475760 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 1330475760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555193600).

1330475760 is an abundant number, since it is smaller than the sum of its proper divisors (3779911440).

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

1330475760 is a wasteful number, since it uses less digits than its factorization.

1330475760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1330475760 is about 36475.6872450678. The cubic root of 1330475760 is about 1099.8555623024.

The spelling of 1330475760 in words is "one billion, three hundred thirty million, four hundred seventy-five thousand, seven hundred sixty".