1481981760 has 672 divisors, whose sum is σ = 6333500160. Its totient is φ = 310542336.

The previous prime is 1481981759. The next prime is 1481981773. The reversal of 1481981760 is 671891841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 20301084 + ... + 20301156.

Almost surely, 2^1481981760 is an apocalyptic number.

1481981760 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 1481981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166750080).

1481981760 is an abundant number, since it is smaller than the sum of its proper divisors (4851518400).

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

1481981760 is a wasteful number, since it uses less digits than its factorization.

1481981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1481981760 is about 38496.5162060153. The cubic root of 1481981760 is about 1140.1122696448.

The spelling of 1481981760 in words is "one billion, four hundred eighty-one million, nine hundred eighty-one thousand, seven hundred sixty".