849224460 has 192 divisors, whose sum is σ = 2914071552. Its totient is φ = 180363264.

The previous prime is 849224417. The next prime is 849224491. The reversal of 849224460 is 64422948.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 591904 + ... + 593336.

It is an arithmetic number, because the mean of its divisors is an integer number (15177456).

Almost surely, 2^849224460 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 849224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457035776).

849224460 is an abundant number, since it is smaller than the sum of its proper divisors (2064847092).

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

849224460 is a wasteful number, since it uses less digits than its factorization.

849224460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 849224460 is about 29141.4560377480. The cubic root of 849224460 is about 946.9800536754.

The spelling of 849224460 in words is "eight hundred forty-nine million, two hundred twenty-four thousand, four hundred sixty".