1481768960 has 288 divisors, whose sum is σ = 4529831040. Its totient is φ = 452984832.

The previous prime is 1481768957. The next prime is 1481769013. The reversal of 1481768960 is 698671841.

It is a junction number, because it is equal to n+sod(n) for n = 1481768899 and 1481768908.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77987831 + ... + 77987849.

It is an arithmetic number, because the mean of its divisors is an integer number (15728580).

Almost surely, 2^1481768960 is an apocalyptic number.

1481768960 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 1481768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264915520).

1481768960 is an abundant number, since it is smaller than the sum of its proper divisors (3048062080).

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

1481768960 is an frugal number, since it uses more digits than its factorization.

1481768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 1481768960 is about 38493.7522203279. The cubic root of 1481768960 is about 1140.0576968849.

The spelling of 1481768960 in words is "one billion, four hundred eighty-one million, seven hundred sixty-eight thousand, nine hundred sixty".