275413840 has 80 divisors (see below), whose sum is σ = 694986768. Its totient is φ = 100896768.

The previous prime is 275413823. The next prime is 275413861. The reversal of 275413840 is 48314572.

275413840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4613904 + 270799936 = 2148^2 + 16456^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×275413840³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 275413796 and 275413805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141514 + ... + 143446.

Almost surely, 2^275413840 is an apocalyptic number.

275413840 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 275413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347493384).

275413840 is an abundant number, since it is smaller than the sum of its proper divisors (419572928).

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

275413840 is a wasteful number, since it uses less digits than its factorization.

275413840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 275413840 is about 16595.5970064352. The cubic root of 275413840 is about 650.6217640301.

The spelling of 275413840 in words is "two hundred seventy-five million, four hundred thirteen thousand, eight hundred forty".