275448960 has 384 divisors, whose sum is σ = 1052578800. Its totient is φ = 66060288.

The previous prime is 275448949. The next prime is 275448997. The reversal of 275448960 is 69844572.

It is a happy number.

275448960 is a `hidden beast` number, since 27 + 544 + 89 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 155151936 + 120297024 = 12456^2 + 10968^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2839632 + ... + 2839728.

Almost surely, 2^275448960 is an apocalyptic number.

275448960 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 275448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526289400).

275448960 is an abundant number, since it is smaller than the sum of its proper divisors (777129840).

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

275448960 is a wasteful number, since it uses less digits than its factorization.

275448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 275448960 is about 16596.6550846850. The cubic root of 275448960 is about 650.6494180085.

The spelling of 275448960 in words is "two hundred seventy-five million, four hundred forty-eight thousand, nine hundred sixty".