982852416 has 336 divisors, whose sum is σ = 3674571264. Its totient is φ = 243744768.

The previous prime is 982852379. The next prime is 982852421. The reversal of 982852416 is 614258289.

982852416 is a `hidden beast` number, since 98 + 28 + 524 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890521 + ... + 891623.

It is an arithmetic number, because the mean of its divisors is an integer number (10936224).

Almost surely, 2^982852416 is an apocalyptic number.

982852416 is a gapful number since it is divisible by the number (96) 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 982852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837285632).

982852416 is an abundant number, since it is smaller than the sum of its proper divisors (2691718848).

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

982852416 is a wasteful number, since it uses less digits than its factorization.

982852416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

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

The square root of 982852416 is about 31350.4771255558. The cubic root of 982852416 is about 994.2511527537.

The spelling of 982852416 in words is "nine hundred eighty-two million, eight hundred fifty-two thousand, four hundred sixteen".