275296320 has 560 divisors, whose sum is σ = 1135928640. Its totient is φ = 62705664.

The previous prime is 275296319. The next prime is 275296321. The reversal of 275296320 is 23692572.

It is an interprime number because it is at equal distance from previous prime (275296319) and next prime (275296321).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275296321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402219 + ... + 6402261.

It is an arithmetic number, because the mean of its divisors is an integer number (2028444).

Almost surely, 2^275296320 is an apocalyptic number.

275296320 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 275296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567964320).

275296320 is an abundant number, since it is smaller than the sum of its proper divisors (860632320).

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

275296320 is a wasteful number, since it uses less digits than its factorization.

275296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 275296320 is about 16592.0559304747. The cubic root of 275296320 is about 650.5292100421.

The spelling of 275296320 in words is "two hundred seventy-five million, two hundred ninety-six thousand, three hundred twenty".