982446336 has 81 divisors (see below), whose sum is σ = 2836979509. Its totient is φ = 326980608.

The previous prime is 982446331. The next prime is 982446359. The reversal of 982446336 is 633644289.

The square root of 982446336 is 31344.

It is a perfect power (a square), and thus also a powerful number.

982446336 is a `hidden beast` number, since 9 + 8 + 2 + 4 + 4 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228614400 + 753831936 = 15120^2 + 27456^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 982446291 and 982446300.

It is not an unprimeable number, because it can be changed into a prime (982446331) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1504186 + ... + 1504838.

Almost surely, 2^982446336 is an apocalyptic number.

982446336 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

982446336 is the 31344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982446336

982446336 is an abundant number, since it is smaller than the sum of its proper divisors (1854533173).

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

982446336 is an frugal number, since it uses more digits than its factorization.

982446336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 658 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The cubic root of 982446336 is about 994.1142040390.

Multiplying 982446336 by its product of digits (746496), we get a square (733392260038656 = 27081216²).

The spelling of 982446336 in words is "nine hundred eighty-two million, four hundred forty-six thousand, three hundred thirty-six".