1152456480 has 216 divisors, whose sum is σ = 4575120732. Its totient is φ = 263402496.

The previous prime is 1152456463. The next prime is 1152456493. The reversal of 1152456480 is 846542511.

It is a happy number.

1152456480 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 4 + 5 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1035037584 + 117418896 = 32172^2 + 10836^2 .

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62394 + ... + 78726.

Almost surely, 2^1152456480 is an apocalyptic number.

1152456480 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 1152456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287560366).

1152456480 is an abundant number, since it is smaller than the sum of its proper divisors (3422664252).

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

1152456480 is a wasteful number, since it uses less digits than its factorization.

1152456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368 (or 16350 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1152456480 is about 33947.8494164211. The cubic root of 1152456480 is about 1048.4350019027.

Adding to 1152456480 its reverse (846542511), we get a palindrome (1998998991).

The spelling of 1152456480 in words is "one billion, one hundred fifty-two million, four hundred fifty-six thousand, four hundred eighty".