1153289280 has 448 divisors, whose sum is σ = 4457005056. Its totient is φ = 248832000.

The previous prime is 1153289261. The next prime is 1153289317. The reversal of 1153289280 is 829823511.

1153289280 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4255545 + ... + 4255815.

It is an arithmetic number, because the mean of its divisors is an integer number (9948672).

Almost surely, 2^1153289280 is an apocalyptic number.

1153289280 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 1153289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228502528).

1153289280 is an abundant number, since it is smaller than the sum of its proper divisors (3303715776).

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

1153289280 is a wasteful number, since it uses less digits than its factorization.

1153289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1153289280 is about 33960.1130740167. The cubic root of 1153289280 is about 1048.6874847370.

The spelling of 1153289280 in words is "one billion, one hundred fifty-three million, two hundred eighty-nine thousand, two hundred eighty".