982940400 has 240 divisors, whose sum is σ = 3768196320. Its totient is φ = 241920000.

The previous prime is 982940381. The next prime is 982940411. The reversal of 982940400 is 4049289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136900 + ... + 143900.

It is an arithmetic number, because the mean of its divisors is an integer number (15700818).

Almost surely, 2^982940400 is an apocalyptic number.

982940400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884098160).

982940400 is an abundant number, since it is smaller than the sum of its proper divisors (2785255920).

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

982940400 is a wasteful number, since it uses less digits than its factorization.

982940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 982940400 is about 31351.8803263855. The cubic root of 982940400 is about 994.2808200031.

Adding to 982940400 its reverse (4049289), we get a palindrome (986989689).

The spelling of 982940400 in words is "nine hundred eighty-two million, nine hundred forty thousand, four hundred".