275307840 has 168 divisors, whose sum is σ = 956721480. Its totient is φ = 72658944.

The previous prime is 275307829. The next prime is 275307841. The reversal of 275307840 is 48703572.

275307840 is a `hidden beast` number, since 275 + 307 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90782784 + 184525056 = 9528^2 + 13584^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 275307795 and 275307804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275307841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 313482 + ... + 314358.

Almost surely, 2^275307840 is an apocalyptic number.

275307840 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 275307840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478360740).

275307840 is an abundant number, since it is smaller than the sum of its proper divisors (681413640).

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

275307840 is a wasteful number, since it uses less digits than its factorization.

275307840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 275307840 is about 16592.4030809283. The cubic root of 275307840 is about 650.5382838915.

The spelling of 275307840 in words is "two hundred seventy-five million, three hundred seven thousand, eight hundred forty".