849223440 has 400 divisors, whose sum is σ = 3368878128. Its totient is φ = 196411392.

The previous prime is 849223439. The next prime is 849223483. The reversal of 849223440 is 44322948.

It can be written as a sum of positive squares in 8 ways, for example, as 3111696 + 846111744 = 1764^2 + 29088^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 849223395 and 849223404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431784 + ... + 1432376.

Almost surely, 2^849223440 is an apocalyptic number.

849223440 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 849223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684439064).

849223440 is an abundant number, since it is smaller than the sum of its proper divisors (2519654688).

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

849223440 is a wasteful number, since it uses less digits than its factorization.

849223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 849223440 is about 29141.4385369014. The cubic root of 849223440 is about 946.9796745373.

The spelling of 849223440 in words is "eight hundred forty-nine million, two hundred twenty-three thousand, four hundred forty".