1004181480 has 96 divisors (see below), whose sum is σ = 3351839400. Its totient is φ = 260540928.

The previous prime is 1004181467. The next prime is 1004181499. The reversal of 1004181480 is 841814001.

1004181480 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 181 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 861187716 + 142993764 = 29346^2 + 11958^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24375 + ... + 51014.

Almost surely, 2^1004181480 is an apocalyptic number.

1004181480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004181480 is an abundant number, since it is smaller than the sum of its proper divisors (2347657920).

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

1004181480 is a wasteful number, since it uses less digits than its factorization.

1004181480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75443 (or 75436 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1004181480 is about 31688.8226351185. The cubic root of 1004181480 is about 1001.3918884144.

Adding to 1004181480 its reverse (841814001), we get a palindrome (1845995481).

The spelling of 1004181480 in words is "one billion, four million, one hundred eighty-one thousand, four hundred eighty".