1481180580 has 240 divisors, whose sum is σ = 5189494464. Its totient is φ = 350542080.

The previous prime is 1481180447. The next prime is 1481180599. The reversal of 1481180580 is 850811841.

It is a happy number.

It is a super-3 number, since 3×1481180580³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 765294 + ... + 767226.

Almost surely, 2^1481180580 is an apocalyptic number.

1481180580 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 1481180580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594747232).

1481180580 is an abundant number, since it is smaller than the sum of its proper divisors (3708313884).

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

1481180580 is a wasteful number, since it uses less digits than its factorization.

1481180580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1481180580 is about 38486.1089225710. The cubic root of 1481180580 is about 1139.9067790809.

The spelling of 1481180580 in words is "one billion, four hundred eighty-one million, one hundred eighty thousand, five hundred eighty".