1168500480 has 288 divisors, whose sum is σ = 4415040000. Its totient is φ = 257703936.

The previous prime is 1168500479. The next prime is 1168500493. The reversal of 1168500480 is 840058611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778771 + ... + 780269.

It is an arithmetic number, because the mean of its divisors is an integer number (15330000).

Almost surely, 2^1168500480 is an apocalyptic number.

1168500480 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 1168500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520000).

1168500480 is an abundant number, since it is smaller than the sum of its proper divisors (3246539520).

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

1168500480 is a wasteful number, since it uses less digits than its factorization.

1168500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1168500480 is about 34183.3362912399. The cubic root of 1168500480 is about 1053.2778834597.

The spelling of 1168500480 in words is "one billion, one hundred sixty-eight million, five hundred thousand, four hundred eighty".