1152480000 has 450 divisors, whose sum is σ = 4471415564. Its totient is φ = 263424000.

The previous prime is 1152479969. The next prime is 1152480011. The reversal of 1152480000 is 842511.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 49 ways as a sum of consecutive naturals, for example, 164639997 + ... + 164640003.

Almost surely, 2^1152480000 is an apocalyptic number.

1152480000 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 1152480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235707782).

1152480000 is an abundant number, since it is smaller than the sum of its proper divisors (3318935564).

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

1152480000 is an frugal number, since it uses more digits than its factorization.

1152480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1152480000 is about 33948.1958283500. The cubic root of 1152480000 is about 1048.4421342106.

The spelling of 1152480000 in words is "one billion, one hundred fifty-two million, four hundred eighty thousand".