982851456 has 128 divisors (see below), whose sum is σ = 2868076800. Its totient is φ = 296828928.

The previous prime is 982851449. The next prime is 982851491. The reversal of 982851456 is 654158289.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×982851456² = 1931993969122639872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164880 + ... + 170736.

It is an arithmetic number, because the mean of its divisors is an integer number (22406850).

Almost surely, 2^982851456 is an apocalyptic number.

982851456 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 982851456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434038400).

982851456 is an abundant number, since it is smaller than the sum of its proper divisors (1885225344).

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

982851456 is a wasteful number, since it uses less digits than its factorization.

982851456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5904 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 982851456 is about 31350.4618147803. The cubic root of 982851456 is about 994.2508290424.

The spelling of 982851456 in words is "nine hundred eighty-two million, eight hundred fifty-one thousand, four hundred fifty-six".