275395120 has 320 divisors, whose sum is σ = 909941760. Its totient is φ = 74649600.

The previous prime is 275395051. The next prime is 275395147. The reversal of 275395120 is 21593572.

275395120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1521430 + ... + 1521610.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^275395120 is an apocalyptic number.

275395120 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 275395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454970880).

275395120 is an abundant number, since it is smaller than the sum of its proper divisors (634546640).

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

275395120 is a wasteful number, since it uses less digits than its factorization.

275395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 275395120 is about 16595.0329918322. The cubic root of 275395120 is about 650.6070226801.

The spelling of 275395120 in words is "two hundred seventy-five million, three hundred ninety-five thousand, one hundred twenty".