985398800 has 120 divisors (see below), whose sum is σ = 2454009600. Its totient is φ = 379952640.

The previous prime is 985398787. The next prime is 985398803. The reversal of 985398800 is 8893589.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (985398803) 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, 2056961 + ... + 2057439.

It is an arithmetic number, because the mean of its divisors is an integer number (20450080).

Almost surely, 2^985398800 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 985398800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227004800).

985398800 is an abundant number, since it is smaller than the sum of its proper divisors (1468610800).

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

985398800 is a wasteful number, since it uses less digits than its factorization.

985398800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 985398800 is about 31391.0624222883. The cubic root of 985398800 is about 995.1090509501.

The spelling of 985398800 in words is "nine hundred eighty-five million, three hundred ninety-eight thousand, eight hundred".