984480 has 96 divisors (see below), whose sum is σ = 3556224. Its totient is φ = 224256.

The previous prime is 984461. The next prime is 984481. The reversal of 984480 is 84489.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 984480.

It is not an unprimeable number, because it can be changed into a prime (984481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3214 + ... + 3506.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁹⁸⁴⁴⁸⁰ 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 984480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778112).

984480 is an abundant number, since it is smaller than the sum of its proper divisors (2571744).

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

984480 is a wasteful number, since it uses less digits than its factorization.

984480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 984480 is about 992.2096552645. The cubic root of 984480 is about 99.4799670114.

The spelling of 984480 in words is "nine hundred eighty-four thousand, four hundred eighty".