844124480 has 56 divisors (see below), whose sum is σ = 2035576320. Its totient is φ = 333365760.

The previous prime is 844124471. The next prime is 844124521. The reversal of 844124480 is 84421448.

It is a super-2 number, since 2×844124480² = 1425092275470540800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 844124480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8585 + ... + 41975.

Almost surely, 2^844124480 is an apocalyptic number.

844124480 is a gapful number since it is divisible by the number (80) 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 844124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017788160).

844124480 is an abundant number, since it is smaller than the sum of its proper divisors (1191451840).

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

844124480 is a wasteful number, since it uses less digits than its factorization.

844124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33487 (or 33477 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 844124480 is about 29053.8204028317. The cubic root of 844124480 is about 945.0805638509.

The spelling of 844124480 in words is "eight hundred forty-four million, one hundred twenty-four thousand, four hundred eighty".