844351872 has 256 divisors, whose sum is σ = 2806648320. Its totient is φ = 218972160.

The previous prime is 844351847. The next prime is 844351883. The reversal of 844351872 is 278153448.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550747 + ... + 2551077.

It is an arithmetic number, because the mean of its divisors is an integer number (10963470).

Almost surely, 2^844351872 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 844351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403324160).

844351872 is an abundant number, since it is smaller than the sum of its proper divisors (1962296448).

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

844351872 is a wasteful number, since it uses less digits than its factorization.

844351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 429 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 844351872 is about 29057.7334284696. The cubic root of 844351872 is about 945.1654188182.

The spelling of 844351872 in words is "eight hundred forty-four million, three hundred fifty-one thousand, eight hundred seventy-two".