1152809280 has 448 divisors, whose sum is σ = 4754880000. Its totient is φ = 262821888.

The previous prime is 1152809267. The next prime is 1152809291. The reversal of 1152809280 is 829082511.

It is a tau number, because it is divible by the number of its divisors (448).

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, 2963326 + ... + 2963714.

Almost surely, 2^1152809280 is an apocalyptic number.

1152809280 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 1152809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2377440000).

1152809280 is an abundant number, since it is smaller than the sum of its proper divisors (3602070720).

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

1152809280 is an equidigital number, since it uses as much as digits as its factorization.

1152809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1152809280 is about 33953.0452242505. The cubic root of 1152809280 is about 1048.5419763343.

The spelling of 1152809280 in words is "one billion, one hundred fifty-two million, eight hundred nine thousand, two hundred eighty".