274788 has 36 divisors (see below), whose sum is σ = 737100. Its totient is φ = 86016.

The previous prime is 274787. The next prime is 274811. The reversal of 274788 is 887472.

It can be written as a sum of positive squares in 2 ways, for example, as 191844 + 82944 = 438^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 274788.

It is not an unprimeable number, because it can be changed into a prime (274783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 388 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2²⁷⁴⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 274788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368550).

274788 is an abundant number, since it is smaller than the sum of its proper divisors (462312).

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

274788 is a wasteful number, since it uses less digits than its factorization.

274788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 471 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 274788 is about 524.2022510444. The cubic root of 274788 is about 65.0128574171.

The spelling of 274788 in words is "two hundred seventy-four thousand, seven hundred eighty-eight".