4985200 has 90 divisors (see below), whose sum is σ = 13292552. Its totient is φ = 1795200.

The previous prime is 4985177. The next prime is 4985209. The reversal of 4985200 is 25894.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4985209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48349 + ... + 48451.

Almost surely, 2^4985200 is an apocalyptic number.

4985200 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 4985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6646276).

4985200 is an abundant number, since it is smaller than the sum of its proper divisors (8307352).

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

4985200 is a wasteful number, since it uses less digits than its factorization.

4985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4985200 is about 2232.7561443203. The cubic root of 4985200 is about 170.8287102986.

The spelling of 4985200 in words is "four million, nine hundred eighty-five thousand, two hundred".