1001180480 has 28 divisors (see below), whose sum is σ = 2384061780. Its totient is φ = 400472064.

The previous prime is 1001180461. The next prime is 1001180527. The reversal of 1001180480 is 840811001.

1001180480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 763527424 + 237653056 = 27632^2 + 15416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1564025 + ... + 1564664.

Almost surely, 2^1001180480 is an apocalyptic number.

1001180480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001180480 is an abundant number, since it is smaller than the sum of its proper divisors (1382881300).

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

1001180480 is an equidigital number, since it uses as much as digits as its factorization.

1001180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128706 (or 3128696 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 1001180480 is about 31641.4361241711. The cubic root of 1001180480 is about 1000.3933385978.

Adding to 1001180480 its reverse (840811001), we get a palindrome (1841991481).

The spelling of 1001180480 in words is "one billion, one million, one hundred eighty thousand, four hundred eighty".