274279680 has 216 divisors, whose sum is σ = 982898280. Its totient is φ = 70533120.

The previous prime is 274279667. The next prime is 274279703. The reversal of 274279680 is 86972472.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 261662976 = 3552^2 + 16176^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333670 + ... + 334490.

It is an arithmetic number, because the mean of its divisors is an integer number (4550455).

Almost surely, 2^274279680 is an apocalyptic number.

274279680 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 274279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491449140).

274279680 is an abundant number, since it is smaller than the sum of its proper divisors (708618600).

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

274279680 is a wasteful number, since it uses less digits than its factorization.

274279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 274279680 is about 16561.3912459068. The cubic root of 274279680 is about 649.7274439140.

The spelling of 274279680 in words is "two hundred seventy-four million, two hundred seventy-nine thousand, six hundred eighty".