983508480 has 560 divisors, whose sum is σ = 3864288384. Its totient is φ = 238878720.

The previous prime is 983508437. The next prime is 983508503. The reversal of 983508480 is 84805389.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 31726065 + ... + 31726095.

Almost surely, 2^983508480 is an apocalyptic number.

983508480 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 983508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932144192).

983508480 is an abundant number, since it is smaller than the sum of its proper divisors (2880779904).

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

983508480 is an equidigital number, since it uses as much as digits as its factorization.

983508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 983508480 is about 31360.9387614593. The cubic root of 983508480 is about 994.4723278064.

The spelling of 983508480 in words is "nine hundred eighty-three million, five hundred eight thousand, four hundred eighty".