985408 has 28 divisors (see below), whose sum is σ = 1988820. Its totient is φ = 484352.

The previous prime is 985403. The next prime is 985417. The reversal of 985408 is 804589.

It can be written as a sum of positive squares in 2 ways, for example, as 565504 + 419904 = 752^2 + 648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5610 + ... + 5782.

2⁹⁸⁵⁴⁰⁸ 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 985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994410).

985408 is an abundant number, since it is smaller than the sum of its proper divisors (1003412).

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

985408 is a wasteful number, since it uses less digits than its factorization.

985408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 985408 is about 992.6771882138. The cubic root of 985408 is about 99.5112147827.

It can be divided in two parts, 98 and 5408, that multiplied together give a square (529984 = 728²).

The spelling of 985408 in words is "nine hundred eighty-five thousand, four hundred eight".