274288 has 40 divisors (see below), whose sum is σ = 634880. Its totient is φ = 112320.

The previous prime is 274283. The next prime is 274301. The reversal of 274288 is 882472.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3433 + ... + 3511.

It is an arithmetic number, because the mean of its divisors is an integer number (15872).

2²⁷⁴²⁸⁸ is an apocalyptic number.

274288 is a gapful number since it is divisible by the number (28) 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 274288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317440).

274288 is an abundant number, since it is smaller than the sum of its proper divisors (360592).

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

274288 is a wasteful number, since it uses less digits than its factorization.

274288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its digits is 7168, while the sum is 31.

The square root of 274288 is about 523.7251187407. The cubic root of 274288 is about 64.9734013458.

The spelling of 274288 in words is "two hundred seventy-four thousand, two hundred eighty-eight".