983270400 has 528 divisors, whose sum is σ = 3898798080. Its totient is φ = 213811200.

The previous prime is 983270383. The next prime is 983270413. The reversal of 983270400 is 4072389.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 16665571 + ... + 16665629.

Almost surely, 2^983270400 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 983270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949399040).

983270400 is an abundant number, since it is smaller than the sum of its proper divisors (2915527680).

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

983270400 is a wasteful number, since it uses less digits than its factorization.

983270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 983270400 is about 31357.1427269769. The cubic root of 983270400 is about 994.3920766499.

The spelling of 983270400 in words is "nine hundred eighty-three million, two hundred seventy thousand, four hundred".