275052960 has 288 divisors, whose sum is σ = 1155772800. Its totient is φ = 58005504.

The previous prime is 275052959. The next prime is 275053007. The reversal of 275052960 is 69250572.

275052960 is a `hidden beast` number, since 2 + 75 + 0 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129991 + ... + 132089.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^275052960 is an apocalyptic number.

275052960 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 275052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

275052960 is an abundant number, since it is smaller than the sum of its proper divisors (880719840).

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

275052960 is a wasteful number, since it uses less digits than its factorization.

275052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 275052960 is about 16584.7206789864. The cubic root of 275052960 is about 650.3374657905.

The spelling of 275052960 in words is "two hundred seventy-five million, fifty-two thousand, nine hundred sixty".