4895200 has 72 divisors (see below), whose sum is σ = 12421080. Its totient is φ = 1881600.

The previous prime is 4895197. The next prime is 4895207. The reversal of 4895200 is 25984.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4895207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23095 + ... + 23305.

It is an arithmetic number, because the mean of its divisors is an integer number (172515).

Almost surely, 2^4895200 is an apocalyptic number.

4895200 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 4895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210540).

4895200 is an abundant number, since it is smaller than the sum of its proper divisors (7525880).

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

4895200 is a wasteful number, since it uses less digits than its factorization.

4895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

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

The square root of 4895200 is about 2212.5098869836. The cubic root of 4895200 is about 169.7944459045.

The spelling of 4895200 in words is "four million, eight hundred ninety-five thousand, two hundred".