1150793280 has 336 divisors, whose sum is σ = 4872801024. Its totient is φ = 242749440.

The previous prime is 1150793279. The next prime is 1150793297. The reversal of 1150793280 is 823970511.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 47 ways as a sum of consecutive naturals, for example, 259885 + ... + 264275.

It is an arithmetic number, because the mean of its divisors is an integer number (14502384).

Almost surely, 2^1150793280 is an apocalyptic number.

1150793280 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 1150793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2436400512).

1150793280 is an abundant number, since it is smaller than the sum of its proper divisors (3722007744).

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

1150793280 is a wasteful number, since it uses less digits than its factorization.

1150793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1150793280 is about 33923.3441747714. The cubic root of 1150793280 is about 1047.9303995889.

It can be divided in two parts, 1150 and 793280, that added together give a triangular number (794430 = T₁₂₆₀).

The spelling of 1150793280 in words is "one billion, one hundred fifty million, seven hundred ninety-three thousand, two hundred eighty".