984400 has 60 divisors (see below), whose sum is σ = 2490912. Its totient is φ = 373120.

The previous prime is 984397. The next prime is 984407. The reversal of 984400 is 4489.

984400 = T₂₈₁ + T₂₈₂ + ... + T₃₀₃.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 10.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9147 + ... + 9253.

2⁹⁸⁴⁴⁰⁰ 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 984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245456).

984400 is an abundant number, since it is smaller than the sum of its proper divisors (1506512).

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

984400 is a wasteful number, since it uses less digits than its factorization.

984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 984400 is about 992.1693403850. The cubic root of 984400 is about 99.4772723188.

Adding to 984400 its reverse (4489), we get a palindrome (988889).

The spelling of 984400 in words is "nine hundred eighty-four thousand, four hundred".