1178916480 has 288 divisors, whose sum is σ = 4736723940. Its totient is φ = 269402112.

The previous prime is 1178916467. The next prime is 1178916499. The reversal of 1178916480 is 846198711.

It is a happy number.

1178916480 is a `hidden beast` number, since 11 + 78 + 91 + 6 + 480 = 666.

1178916480 is digitally balanced in base 6, 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 1140277824 + 38638656 = 33768^2 + 6216^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

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 35 ways as a sum of consecutive naturals, for example, 280152 + ... + 284328.

Almost surely, 2^1178916480 is an apocalyptic number.

1178916480 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 1178916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368361970).

1178916480 is an abundant number, since it is smaller than the sum of its proper divisors (3557807460).

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

1178916480 is a wasteful number, since it uses less digits than its factorization.

1178916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4216 (or 4194 counting only the distinct ones).

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

The square root of 1178916480 is about 34335.3532091924. The cubic root of 1178916480 is about 1056.3982657549.

It can be divided in two parts, 1178916 and 480, that added together give a square (1179396 = 1086²).

The spelling of 1178916480 in words is "one billion, one hundred seventy-eight million, nine hundred sixteen thousand, four hundred eighty".