274045680 has 280 divisors, whose sum is σ = 988841472. Its totient is φ = 70543872.

The previous prime is 274045663. The next prime is 274045687. The reversal of 274045680 is 86540472.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274045687) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2157777 + ... + 2157903.

Almost surely, 2^274045680 is an apocalyptic number.

274045680 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 274045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494420736).

274045680 is an abundant number, since it is smaller than the sum of its proper divisors (714795792).

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

274045680 is a wasteful number, since it uses less digits than its factorization.

274045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 274045680 is about 16554.3251146037. The cubic root of 274045680 is about 649.5426210370.

The spelling of 274045680 in words is "two hundred seventy-four million, forty-five thousand, six hundred eighty".