274087840 has 96 divisors (see below), whose sum is σ = 701232336. Its totient is φ = 100638720.

The previous prime is 274087831. The next prime is 274087859. The reversal of 274087840 is 48780472.

It is a happy number.

274087840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9960336 + 264127504 = 3156^2 + 16252^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 274087793 and 274087802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650830 + ... + 651250.

Almost surely, 2^274087840 is an apocalyptic number.

274087840 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 274087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350616168).

274087840 is an abundant number, since it is smaller than the sum of its proper divisors (427144496).

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

274087840 is a wasteful number, since it uses less digits than its factorization.

274087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 274087840 is about 16555.5984488632. The cubic root of 274087840 is about 649.5759285166.

The spelling of 274087840 in words is "two hundred seventy-four million, eighty-seven thousand, eight hundred forty".