984456 has 72 divisors (see below), whose sum is σ = 2956590. Its totient is φ = 295680.

The previous prime is 984437. The next prime is 984457. The reversal of 984456 is 654489.

It can be written as a sum of positive squares in only one way, i.e., 980100 + 4356 = 990^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 984456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8656 + ... + 8768.

2⁹⁸⁴⁴⁵⁶ 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 984456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478295).

984456 is an abundant number, since it is smaller than the sum of its proper divisors (1972134).

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

984456 is a wasteful number, since it uses less digits than its factorization.

984456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 129 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 984456 is about 992.1975609726. The cubic root of 984456 is about 99.4791586189.

It can be divided in two parts, 98 and 4456, that added together give a palindrome (4554).

The spelling of 984456 in words is "nine hundred eighty-four thousand, four hundred fifty-six".