985138440 has 384 divisors, whose sum is σ = 3716254080. Its totient is φ = 206807040.

The previous prime is 985138421. The next prime is 985138477. The reversal of 985138440 is 44831589.

It is a junction number, because it is equal to n+sod(n) for n = 985138392 and 985138401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3208767 + ... + 3209073.

It is an arithmetic number, because the mean of its divisors is an integer number (9677745).

Almost surely, 2^985138440 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 985138440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858127040).

985138440 is an abundant number, since it is smaller than the sum of its proper divisors (2731115640).

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

985138440 is a wasteful number, since it uses less digits than its factorization.

985138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 985138440 is about 31386.9151080510. The cubic root of 985138440 is about 995.0214013561.

It can be divided in two parts, 98513 and 8440, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 985138440 in words is "nine hundred eighty-five million, one hundred thirty-eight thousand, four hundred forty".