985420800 has 792 divisors, whose sum is σ = 4434882816. Its totient is φ = 203489280.

The previous prime is 985420781. The next prime is 985420817. The reversal of 985420800 is 8024589.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20966377 + ... + 20966423.

Almost surely, 2^985420800 is an apocalyptic number.

985420800 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 985420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217441408).

985420800 is an abundant number, since it is smaller than the sum of its proper divisors (3449462016).

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

985420800 is a wasteful number, since it uses less digits than its factorization.

985420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 985420800 is about 31391.4128385455. The cubic root of 985420800 is about 995.1164564920.

The spelling of 985420800 in words is "nine hundred eighty-five million, four hundred twenty thousand, eight hundred".