4985323200 has 840 divisors, whose sum is σ = 21608460720. Its totient is φ = 1111449600.

The previous prime is 4985323169. The next prime is 4985323201. The reversal of 4985323200 is 23235894.

4985323200 is a `hidden beast` number, since 4 + 98 + 532 + 32 + 0 + 0 = 666.

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 (4985323201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18532666 + ... + 18532934.

It is an arithmetic number, because the mean of its divisors is an integer number (25724358).

Almost surely, 2^4985323200 is an apocalyptic number.

4985323200 is a gapful number since it is divisible by the number (40) 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 4985323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804230360).

4985323200 is an abundant number, since it is smaller than the sum of its proper divisors (16623137520).

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

4985323200 is a wasteful number, since it uses less digits than its factorization.

4985323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4985323200 is about 70606.8212002212. The cubic root of 4985323200 is about 1708.3011752556.

The spelling of 4985323200 in words is "four billion, nine hundred eighty-five million, three hundred twenty-three thousand, two hundred".