985353300 has 216 divisors, whose sum is σ = 3364888800. Its totient is φ = 240226560.

The previous prime is 985353283. The next prime is 985353307. The reversal of 985353300 is 3353589.

985353300 is a `hidden beast` number, since 98 + 535 + 3 + 30 + 0 = 666.

985353300 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×985353300² = 1941842251641780000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985353307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 494907 + ... + 496893.

Almost surely, 2^985353300 is an apocalyptic number.

985353300 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 985353300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682444400).

985353300 is an abundant number, since it is smaller than the sum of its proper divisors (2379535500).

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

985353300 is a wasteful number, since it uses less digits than its factorization.

985353300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 985353300 is about 31390.3376853452. The cubic root of 985353300 is about 995.0937345934.

The spelling of 985353300 in words is "nine hundred eighty-five million, three hundred fifty-three thousand, three hundred".