985446100 has 72 divisors (see below), whose sum is σ = 2220170400. Its totient is φ = 379209600.

The previous prime is 985446097. The next prime is 985446103. The reversal of 985446100 is 1644589.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (985446097) and next prime (985446103).

It is a super-2 number, since 2×985446100² = 1942208032010420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 985446100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985446103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214695 + ... + 1215505.

It is an arithmetic number, because the mean of its divisors is an integer number (30835700).

Almost surely, 2^985446100 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 985446100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110085200).

985446100 is an abundant number, since it is smaller than the sum of its proper divisors (1234724300).

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

985446100 is a wasteful number, since it uses less digits than its factorization.

985446100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 985446100 is about 31391.8158124056. The cubic root of 985446100 is about 995.1249727289.

The spelling of 985446100 in words is "nine hundred eighty-five million, four hundred forty-six thousand, one hundred".