849673440 has 576 divisors, whose sum is σ = 3698472960. Its totient is φ = 172523520.

The previous prime is 849673427. The next prime is 849673457. The reversal of 849673440 is 44376948.

849673440 is digitally balanced in base 2, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8759472 + ... + 8759568.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2^849673440 is an apocalyptic number.

849673440 is a gapful number since it is divisible by the number (80) 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 849673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480).

849673440 is an abundant number, since it is smaller than the sum of its proper divisors (2848799520).

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

849673440 is a wasteful number, since it uses less digits than its factorization.

849673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 849673440 is about 29149.1584784192. The cubic root of 849673440 is about 947.1469118765.

The spelling of 849673440 in words is "eight hundred forty-nine million, six hundred seventy-three thousand, four hundred forty".