985213440 has 240 divisors, whose sum is σ = 3472954056. Its totient is φ = 258048000.

The previous prime is 985213421. The next prime is 985213459. The reversal of 985213440 is 44312589.

985213440 is a `hidden beast` number, since 98 + 521 + 3 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (985213421) and next prime (985213459).

It can be written as a sum of positive squares in 4 ways, for example, as 704583936 + 280629504 = 26544^2 + 16752^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 985213395 and 985213404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405090 + ... + 1405790.

Almost surely, 2^985213440 is an apocalyptic number.

985213440 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 985213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736477028).

985213440 is an abundant number, since it is smaller than the sum of its proper divisors (2487740616).

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

985213440 is a wasteful number, since it uses less digits than its factorization.

985213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 985213440 is about 31388.1098507062. The cubic root of 985213440 is about 995.0466515167.

The spelling of 985213440 in words is "nine hundred eighty-five million, two hundred thirteen thousand, four hundred forty".