274888960 has 144 divisors (see below), whose sum is σ = 706406400. Its totient is φ = 102187008.

The previous prime is 274888951. The next prime is 274888961. The reversal of 274888960 is 69888472.

274888960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 274888898 and 274888907.

It is not an unprimeable number, because it can be changed into a prime (274888961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2164417 + ... + 2164543.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2^274888960 is an apocalyptic number.

274888960 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 274888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353203200).

274888960 is an abundant number, since it is smaller than the sum of its proper divisors (431517440).

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

274888960 is a wasteful number, since it uses less digits than its factorization.

274888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 274888960 is about 16579.7756317750. The cubic root of 274888960 is about 650.2081857794.

The spelling of 274888960 in words is "two hundred seventy-four million, eight hundred eighty-eight thousand, nine hundred sixty".