849363840 has 512 divisors, whose sum is σ = 3427200000. Its totient is φ = 197074944.

The previous prime is 849363829. The next prime is 849363847. The reversal of 849363840 is 48363948.

849363840 is a `hidden beast` number, since 8 + 4 + 9 + 3 + 638 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849363847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4268061 + ... + 4268259.

It is an arithmetic number, because the mean of its divisors is an integer number (6693750).

Almost surely, 2^849363840 is an apocalyptic number.

849363840 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 849363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713600000).

849363840 is an abundant number, since it is smaller than the sum of its proper divisors (2577836160).

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

849363840 is a wasteful number, since it uses less digits than its factorization.

849363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 849363840 is about 29143.8473781345. The cubic root of 849363840 is about 947.0318589266.

The spelling of 849363840 in words is "eight hundred forty-nine million, three hundred sixty-three thousand, eight hundred forty".