274056640 has 224 divisors, whose sum is σ = 788066496. Its totient is φ = 89456640.

The previous prime is 274056637. The next prime is 274056649. The reversal of 274056640 is 46650472.

It is a junction number, because it is equal to n+sod(n) for n = 274056596 and 274056605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274056649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2425224 + ... + 2425336.

It is an arithmetic number, because the mean of its divisors is an integer number (3518154).

Almost surely, 2^274056640 is an apocalyptic number.

274056640 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 274056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394033248).

274056640 is an abundant number, since it is smaller than the sum of its proper divisors (514009856).

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

274056640 is a wasteful number, since it uses less digits than its factorization.

274056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 274056640 is about 16554.6561426083. The cubic root of 274056640 is about 649.5512800463.

The spelling of 274056640 in words is "two hundred seventy-four million, fifty-six thousand, six hundred forty".