275748480 has 288 divisors, whose sum is σ = 1108787940. Its totient is φ = 62963712.

The previous prime is 275748469. The next prime is 275748491. The reversal of 275748480 is 84847572.

275748480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (275748469) and next prime (275748491).

It can be written as a sum of positive squares in 2 ways, for example, as 265559616 + 10188864 = 16296^2 + 3192^2 .

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 (45).

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, 281752 + ... + 282728.

Almost surely, 2^275748480 is an apocalyptic number.

275748480 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 275748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554393970).

275748480 is an abundant number, since it is smaller than the sum of its proper divisors (833039460).

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

275748480 is a wasteful number, since it uses less digits than its factorization.

275748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 275748480 is about 16605.6761379957. The cubic root of 275748480 is about 650.8851687851.

The spelling of 275748480 in words is "two hundred seventy-five million, seven hundred forty-eight thousand, four hundred eighty".