275456480 has 144 divisors (see below), whose sum is σ = 720516384. Its totient is φ = 99440640.

The previous prime is 275456459. The next prime is 275456501. The reversal of 275456480 is 84654572.

It is an interprime number because it is at equal distance from previous prime (275456459) and next prime (275456501).

It is a congruent number.

It is an unprimeable number.

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, 1649357 + ... + 1649523.

It is an arithmetic number, because the mean of its divisors is an integer number (5003586).

Almost surely, 2^275456480 is an apocalyptic number.

275456480 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 275456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360258192).

275456480 is an abundant number, since it is smaller than the sum of its proper divisors (445059904).

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

275456480 is a wasteful number, since it uses less digits than its factorization.

275456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 275456480 is about 16596.8816348132. The cubic root of 275456480 is about 650.6553390560.

The spelling of 275456480 in words is "two hundred seventy-five million, four hundred fifty-six thousand, four hundred eighty".