1131792480 has 384 divisors, whose sum is σ = 4877107200. Its totient is φ = 238712832.

The previous prime is 1131792451. The next prime is 1131792491. The reversal of 1131792480 is 842971311.

It is a happy number.

1131792480 is a `hidden beast` number, since 1 + 1 + 3 + 179 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 391681 + ... + 394559.

It is an arithmetic number, because the mean of its divisors is an integer number (12700800).

Almost surely, 2^1131792480 is an apocalyptic number.

1131792480 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 1131792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438553600).

1131792480 is an abundant number, since it is smaller than the sum of its proper divisors (3745314720).

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

1131792480 is a wasteful number, since it uses less digits than its factorization.

1131792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1131792480 is about 33642.1235952786. The cubic root of 1131792480 is about 1042.1308873889.

The spelling of 1131792480 in words is "one billion, one hundred thirty-one million, seven hundred ninety-two thousand, four hundred eighty".