274876672 has 108 divisors (see below), whose sum is σ = 676328940. Its totient is φ = 110788608.

The previous prime is 274876639. The next prime is 274876673. The reversal of 274876672 is 276678472.

It can be written as a sum of positive squares in 2 ways, for example, as 218566656 + 56310016 = 14784^2 + 7504^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274876673) 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, 212604 + ... + 213892.

It is an arithmetic number, because the mean of its divisors is an integer number (6262305).

Almost surely, 2^274876672 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 274876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338164470).

274876672 is an abundant number, since it is smaller than the sum of its proper divisors (401452268).

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

274876672 is a wasteful number, since it uses less digits than its factorization.

274876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1315 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 49.

The square root of 274876672 is about 16579.4050556707. The cubic root of 274876672 is about 650.1984971676.

The spelling of 274876672 in words is "two hundred seventy-four million, eight hundred seventy-six thousand, six hundred seventy-two".