275208960 has 288 divisors, whose sum is σ = 978667200. Its totient is φ = 65470464.

The previous prime is 275208949. The next prime is 275208991. The reversal of 275208960 is 69802572.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 1846966 + ... + 1847114.

It is an arithmetic number, because the mean of its divisors is an integer number (3398150).

Almost surely, 2^275208960 is an apocalyptic number.

275208960 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 275208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489333600).

275208960 is an abundant number, since it is smaller than the sum of its proper divisors (703458240).

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

275208960 is a wasteful number, since it uses less digits than its factorization.

275208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 275208960 is about 16589.4231364445. The cubic root of 275208960 is about 650.4603917785.

The spelling of 275208960 in words is "two hundred seventy-five million, two hundred eight thousand, nine hundred sixty".