274940160 has 288 divisors, whose sum is σ = 1003097088. Its totient is φ = 63528960.

The previous prime is 274940153. The next prime is 274940161. The reversal of 274940160 is 61049472.

It is a happy number.

274940160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (274940161) 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 31 ways as a sum of consecutive naturals, for example, 971379 + ... + 971661.

It is an arithmetic number, because the mean of its divisors is an integer number (3482976).

Almost surely, 2^274940160 is an apocalyptic number.

274940160 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 274940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501548544).

274940160 is an abundant number, since it is smaller than the sum of its proper divisors (728156928).

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

274940160 is a wasteful number, since it uses less digits than its factorization.

274940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 274940160 is about 16581.3196097295. The cubic root of 274940160 is about 650.2485518875.

The spelling of 274940160 in words is "two hundred seventy-four million, nine hundred forty thousand, one hundred sixty".