1331160480 has 240 divisors, whose sum is σ = 5059903464. Its totient is φ = 327628800.

The previous prime is 1331160473. The next prime is 1331160499. The reversal of 1331160480 is 840611331.

It can be written as a sum of positive squares in 4 ways, for example, as 951845904 + 379314576 = 30852^2 + 19476^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 164530 + ... + 172430.

Almost surely, 2^1331160480 is an apocalyptic number.

1331160480 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 1331160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529951732).

1331160480 is an abundant number, since it is smaller than the sum of its proper divisors (3728742984).

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

1331160480 is a wasteful number, since it uses less digits than its factorization.

1331160480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7941 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1331160480 is about 36485.0720158259. The cubic root of 1331160480 is about 1100.0442075897.

The spelling of 1331160480 in words is "one billion, three hundred thirty-one million, one hundred sixty thousand, four hundred eighty".