1181796480 has 448 divisors, whose sum is σ = 4515183000. Its totient is φ = 294617088.

The previous prime is 1181796479. The next prime is 1181796481. The reversal of 1181796480 is 846971811.

It is a happy number.

1181796480 is a `hidden beast` number, since 1 + 1 + 81 + 7 + 96 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1181796479) and next prime (1181796481).

It can be written as a sum of positive squares in 4 ways, for example, as 875686464 + 306110016 = 29592^2 + 17496^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1181796481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931446 + ... + 7931594.

Almost surely, 2^1181796480 is an apocalyptic number.

1181796480 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 1181796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257591500).

1181796480 is an abundant number, since it is smaller than the sum of its proper divisors (3333386520).

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

1181796480 is an equidigital number, since it uses as much as digits as its factorization.

1181796480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 176 counting only the distinct ones).

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

The square root of 1181796480 is about 34377.2669070710. The cubic root of 1181796480 is about 1057.2577987651.

The spelling of 1181796480 in words is "one billion, one hundred eighty-one million, seven hundred ninety-six thousand, four hundred eighty".