982400 has 48 divisors (see below), whose sum is σ = 2434740. Its totient is φ = 391680.

The previous prime is 982393. The next prime is 982403. The reversal of 982400 is 4289.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3047 + ... + 3353.

2⁹⁸²⁴⁰⁰ 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 982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217370).

982400 is an abundant number, since it is smaller than the sum of its proper divisors (1452340).

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

982400 is a wasteful number, since it uses less digits than its factorization.

982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 982400 is about 991.1609354691. The cubic root of 982400 is about 99.4098575026.

Adding to 982400 its reverse (4289), we get a palindrome (986689).

The spelling of 982400 in words is "nine hundred eighty-two thousand, four hundred".