849628416 has 144 divisors (see below), whose sum is σ = 2783306624. Its totient is φ = 224059392.

The previous prime is 849628393. The next prime is 849628477. The reversal of 849628416 is 614826948.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63810 + ... + 75966.

Almost surely, 2^849628416 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 849628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391653312).

849628416 is an abundant number, since it is smaller than the sum of its proper divisors (1933678208).

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

849628416 is a wasteful number, since it uses less digits than its factorization.

849628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12182 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 849628416 is about 29148.3861645889. The cubic root of 849628416 is about 947.1301818821.

The spelling of 849628416 in words is "eight hundred forty-nine million, six hundred twenty-eight thousand, four hundred sixteen".