274920 has 64 divisors (see below), whose sum is σ = 864000. Its totient is φ = 69888.

The previous prime is 274909. The next prime is 274931. The reversal of 274920 is 29472.

274920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (274909) and next prime (274931).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

274920 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3441 + ... + 3519.

It is an arithmetic number, because the mean of its divisors is an integer number (13500).

2²⁷⁴⁹²⁰ is an apocalyptic number.

274920 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 274920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432000).

274920 is an abundant number, since it is smaller than the sum of its proper divisors (589080).

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

274920 is a wasteful number, since it uses less digits than its factorization.

274920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 274920 is about 524.3281415297. The cubic root of 274920 is about 65.0232658331.

The spelling of 274920 in words is "two hundred seventy-four thousand, nine hundred twenty".