1153320480 has 144 divisors (see below), whose sum is σ = 4238521560. Its totient is φ = 283889664.

The previous prime is 1153320437. The next prime is 1153320491. The reversal of 1153320480 is 840233511.

It is a happy number.

1153320480 is a `hidden beast` number, since 1 + 153 + 32 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 445547664 + 707772816 = 21108^2 + 26604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12085 + ... + 49524.

Almost surely, 2^1153320480 is an apocalyptic number.

1153320480 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 1153320480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119260780).

1153320480 is an abundant number, since it is smaller than the sum of its proper divisors (3085201080).

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

1153320480 is a wasteful number, since it uses less digits than its factorization.

1153320480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61643 (or 61632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1153320480 is about 33960.5724333380. The cubic root of 1153320480 is about 1048.6969413856.

Adding to 1153320480 its reverse (840233511), we get a palindrome (1993553991).

The spelling of 1153320480 in words is "one billion, one hundred fifty-three million, three hundred twenty thousand, four hundred eighty".