274845312 has 240 divisors, whose sum is σ = 953234370. Its totient is φ = 78382080.

The previous prime is 274845289. The next prime is 274845313. The reversal of 274845312 is 213548472.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 30735936 = 15624^2 + 5544^2 .

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

It is not an unprimeable number, because it can be changed into a prime (274845313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 507762 + ... + 508302.

Almost surely, 2^274845312 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 274845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476617185).

274845312 is an abundant number, since it is smaller than the sum of its proper divisors (678389058).

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

274845312 is an equidigital number, since it uses as much as digits as its factorization.

274845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 553 counting only the distinct ones).

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

The square root of 274845312 is about 16578.4592770257. The cubic root of 274845312 is about 650.1737697142.

The spelling of 274845312 in words is "two hundred seventy-four million, eight hundred forty-five thousand, three hundred twelve".