1331454960 has 720 divisors, whose sum is σ = 5557144320. Its totient is φ = 283852800.

The previous prime is 1331454959. The next prime is 1331454961. The reversal of 1331454960 is 694541331.

It is an interprime number because it is at equal distance from previous prime (1331454959) and next prime (1331454961).

It is a tau number, because it is divible by the number of its divisors (720).

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 (1331454961) 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 143 ways as a sum of consecutive naturals, for example, 42950145 + ... + 42950175.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2^1331454960 is an apocalyptic number.

1331454960 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 1331454960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).

1331454960 is an abundant number, since it is smaller than the sum of its proper divisors (4225689360).

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

1331454960 is a wasteful number, since it uses less digits than its factorization.

1331454960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1331454960 is about 36489.1074157755. The cubic root of 1331454960 is about 1100.1253190556.

The spelling of 1331454960 in words is "one billion, three hundred thirty-one million, four hundred fifty-four thousand, nine hundred sixty".