849415644 has 216 divisors, whose sum is σ = 2736246240. Its totient is φ = 217451520.

The previous prime is 849415643. The next prime is 849415661. The reversal of 849415644 is 446514948.

849415644 is a `hidden beast` number, since 8 + 49 + 41 + 564 + 4 = 666.

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 self number, because there is not a number n which added to its sum of digits gives 849415644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849415643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2713632 + ... + 2713944.

Almost surely, 2^849415644 is an apocalyptic number.

849415644 is a gapful number since it is divisible by the number (84) 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 849415644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368123120).

849415644 is an abundant number, since it is smaller than the sum of its proper divisors (1886830596).

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

849415644 is a wasteful number, since it uses less digits than its factorization.

849415644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 849415644 is about 29144.7361285018. The cubic root of 849415644 is about 947.0511121758.

The spelling of 849415644 in words is "eight hundred forty-nine million, four hundred fifteen thousand, six hundred forty-four".