270849852 has 288 divisors, whose sum is σ = 915210240. Its totient is φ = 68584320.

The previous prime is 270849851. The next prime is 270849869. The reversal of 270849852 is 258948072.

270849852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 270849798 and 270849807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270849851) 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 95 ways as a sum of consecutive naturals, for example, 2132613 + ... + 2132739.

Almost surely, 2^270849852 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 270849852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457605120).

270849852 is an abundant number, since it is smaller than the sum of its proper divisors (644360388).

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

270849852 is a wasteful number, since it uses less digits than its factorization.

270849852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 270849852 is about 16457.5165805780. The cubic root of 270849852 is about 647.0078266203.

The spelling of 270849852 in words is "two hundred seventy million, eight hundred forty-nine thousand, eight hundred fifty-two".