274820 has 48 divisors (see below), whose sum is σ = 715008. Its totient is φ = 86400.

The previous prime is 274817. The next prime is 274829. The reversal of 274820 is 28472.

274820 is nontrivially palindromic in base 15.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (274829) 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, 1745 + ... + 1895.

It is an arithmetic number, because the mean of its divisors is an integer number (14896).

2²⁷⁴⁸²⁰ is an apocalyptic number.

274820 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 274820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504).

274820 is an abundant number, since it is smaller than the sum of its proper divisors (440188).

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

274820 is a wasteful number, since it uses less digits than its factorization.

274820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 274820 is about 524.2327727260. The cubic root of 274820 is about 65.0153809755.

The spelling of 274820 in words is "two hundred seventy-four thousand, eight hundred twenty".