844949448 has 64 divisors (see below), whose sum is σ = 2682384000. Its totient is φ = 241413696.

The previous prime is 844949431. The next prime is 844949461.

844949448 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 nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 844949394 and 844949403.

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, 277903 + ... + 280926.

It is an arithmetic number, because the mean of its divisors is an integer number (41912250).

Almost surely, 2^844949448 is an apocalyptic number.

It is an amenable number.

844949448 is an abundant number, since it is smaller than the sum of its proper divisors (1837434552).

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

844949448 is a wasteful number, since it uses less digits than its factorization.

844949448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558851 (or 558841 counting only the distinct ones).

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

The square root of 844949448 is about 29068.0141736583. The cubic root of 844949448 is about 945.3883412738.

The spelling of 844949448 in words is "eight hundred forty-four million, nine hundred forty-nine thousand, four hundred forty-eight".