849444948 has 96 divisors (see below), whose sum is σ = 2443392000. Its totient is φ = 253023840.

The previous prime is 849444941. The next prime is 849444949.

849444948 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 849444894 and 849444903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849444941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64033 + ... + 76151.

It is an arithmetic number, because the mean of its divisors is an integer number (25452000).

Almost surely, 2^849444948 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 849444948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221696000).

849444948 is an abundant number, since it is smaller than the sum of its proper divisors (1593947052).

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

849444948 is a wasteful number, since it uses less digits than its factorization.

849444948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12202 (or 12194 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 849444948 is about 29145.2388564582. The cubic root of 849444948 is about 947.0620028263.

The spelling of 849444948 in words is "eight hundred forty-nine million, four hundred forty-four thousand, nine hundred forty-eight".