4935200 has 72 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 1900800.

The previous prime is 4935199. The next prime is 4935221. The reversal of 4935200 is 25394.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24701 + ... + 24899.

It is an arithmetic number, because the mean of its divisors is an integer number (173600).

Almost surely, 2^4935200 is an apocalyptic number.

4935200 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 4935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

4935200 is an abundant number, since it is smaller than the sum of its proper divisors (7564000).

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

4935200 is a wasteful number, since it uses less digits than its factorization.

4935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 4935200 is about 2221.5310036099. The cubic root of 4935200 is about 170.2556706559.

The spelling of 4935200 in words is "four million, nine hundred thirty-five thousand, two hundred".