270048800 has 162 divisors, whose sum is σ = 776241333. Its totient is φ = 91472640.

The previous prime is 270048797. The next prime is 270048809. The reversal of 270048800 is 8840072.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 264647824 + 5400976 = 16268^2 + 2324^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=11620.

It is not an unprimeable number, because it can be changed into a prime (270048809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3253559 + ... + 3253641.

Almost surely, 2^270048800 is an apocalyptic number.

270048800 is a gapful number since it is divisible by the number (20) 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 270048800

270048800 is an abundant number, since it is smaller than the sum of its proper divisors (506192533).

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

270048800 is an equidigital number, since it uses as much as digits as its factorization.

270048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 270048800 is about 16433.1615947754. The cubic root of 270048800 is about 646.3693440760.

Adding to 270048800 its reverse (8840072), we get a palindrome (278888872).

The spelling of 270048800 in words is "two hundred seventy million, forty-eight thousand, eight hundred".