4827200 has 84 divisors (see below), whose sum is σ = 13606272. Its totient is φ = 1651200.

The previous prime is 4827191. The next prime is 4827211. The reversal of 4827200 is 27284.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10985 + ... + 11415.

Almost surely, 2^4827200 is an apocalyptic number.

4827200 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 4827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803136).

4827200 is an abundant number, since it is smaller than the sum of its proper divisors (8779072).

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

4827200 is a wasteful number, since it uses less digits than its factorization.

4827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4827200 is about 2197.0889831775. The cubic root of 4827200 is about 169.0045632091.

The spelling of 4827200 in words is "four million, eight hundred twenty-seven thousand, two hundred".