275042880 has 252 divisors, whose sum is σ = 1101051900. Its totient is φ = 62834688.

The previous prime is 275042869. The next prime is 275042923. The reversal of 275042880 is 88240572.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 163021824 + 112021056 = 12768^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140146 + ... + 142094.

Almost surely, 2^275042880 is an apocalyptic number.

275042880 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 275042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550525950).

275042880 is an abundant number, since it is smaller than the sum of its proper divisors (826009020).

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

275042880 is a wasteful number, since it uses less digits than its factorization.

275042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 275042880 is about 16584.4167820276. The cubic root of 275042880 is about 650.3295212820.

The spelling of 275042880 in words is "two hundred seventy-five million, forty-two thousand, eight hundred eighty".