1152033480 has 192 divisors, whose sum is σ = 4141715760. Its totient is φ = 275871744.

The previous prime is 1152033451. The next prime is 1152033521. The reversal of 1152033480 is 843302511.

It is a happy number.

1152033480 is a `hidden beast` number, since 1 + 152 + 0 + 33 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 202037796 + 949995684 = 14214^2 + 30822^2 .

It is a super-2 number, since 2×1152033480² = 2654362278081820800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169834 + ... + 176486.

Almost surely, 2^1152033480 is an apocalyptic number.

1152033480 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 1152033480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070857880).

1152033480 is an abundant number, since it is smaller than the sum of its proper divisors (2989682280).

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

1152033480 is a wasteful number, since it uses less digits than its factorization.

1152033480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720 (or 6713 counting only the distinct ones).

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

The square root of 1152033480 is about 33941.6187003508. The cubic root of 1152033480 is about 1048.3067129581.

Adding to 1152033480 its reverse (843302511), we get a palindrome (1995335991).

The spelling of 1152033480 in words is "one billion, one hundred fifty-two million, thirty-three thousand, four hundred eighty".