1179930240 has 288 divisors, whose sum is σ = 4245997860. Its totient is φ = 313528320.

The previous prime is 1179930239. The next prime is 1179930263. The reversal of 1179930240 is 420399711.

It can be written as a sum of positive squares in 2 ways, for example, as 1179510336 + 419904 = 34344^2 + 648^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1179930195 and 1179930204.

It is a congruent number.

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, 4198900 + ... + 4199180.

Almost surely, 2^1179930240 is an apocalyptic number.

1179930240 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 1179930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122998930).

1179930240 is an abundant number, since it is smaller than the sum of its proper divisors (3066067620).

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

1179930240 is an frugal number, since it uses more digits than its factorization.

1179930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1179930240 is about 34350.1126635707. The cubic root of 1179930240 is about 1056.7009808616.

The spelling of 1179930240 in words is "one billion, one hundred seventy-nine million, nine hundred thirty thousand, two hundred forty".