1331478960 has 480 divisors, whose sum is σ = 5190739200. Its totient is φ = 280627200.

The previous prime is 1331478919. The next prime is 1331478983. The reversal of 1331478960 is 698741331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13182910 + ... + 13183010.

It is an arithmetic number, because the mean of its divisors is an integer number (10814040).

Almost surely, 2^1331478960 is an apocalyptic number.

1331478960 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 1331478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595369600).

1331478960 is an abundant number, since it is smaller than the sum of its proper divisors (3859260240).

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

1331478960 is a wasteful number, since it uses less digits than its factorization.

1331478960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1331478960 is about 36489.4362795590. The cubic root of 1331478960 is about 1100.1319290800.

The spelling of 1331478960 in words is "one billion, three hundred thirty-one million, four hundred seventy-eight thousand, nine hundred sixty".