844890480 has 640 divisors, whose sum is σ = 3728332800. Its totient is φ = 171196416.

The previous prime is 844890479. The next prime is 844890547. The reversal of 844890480 is 84098448.

844890480 is a `hidden beast` number, since 84 + 4 + 8 + 90 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4883674 + ... + 4883846.

It is an arithmetic number, because the mean of its divisors is an integer number (5825520).

Almost surely, 2^844890480 is an apocalyptic number.

844890480 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 844890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864166400).

844890480 is an abundant number, since it is smaller than the sum of its proper divisors (2883442320).

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

844890480 is a wasteful number, since it uses less digits than its factorization.

844890480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 844890480 is about 29066.9998451853. Note that the first 3 decimals coincide. The cubic root of 844890480 is about 945.3663482592.

The spelling of 844890480 in words is "eight hundred forty-four million, eight hundred ninety thousand, four hundred eighty".