844000480 has 48 divisors (see below), whose sum is σ = 1996263360. Its totient is φ = 337208832.

The previous prime is 844000477. The next prime is 844000483. The reversal of 844000480 is 84000448.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (844000477) and next prime (844000483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844000483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163702 + ... + 168778.

It is an arithmetic number, because the mean of its divisors is an integer number (41588820).

Almost surely, 2^844000480 is an apocalyptic number.

844000480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844000480 is an abundant number, since it is smaller than the sum of its proper divisors (1152262880).

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

844000480 is a wasteful number, since it uses less digits than its factorization.

844000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 844000480 is about 29051.6863538074. The cubic root of 844000480 is about 945.0342848437.

The spelling of 844000480 in words is "eight hundred forty-four million, four hundred eighty", and thus it is an aban number.