4807200 has 72 divisors (see below), whose sum is σ = 15655248. Its totient is φ = 1281280.

The previous prime is 4807199. The next prime is 4807217. The reversal of 4807200 is 27084.

It is a happy number.

It is a super-3 number, since 3×4807200³ (a number of 21 digits) contains 333 as substring.

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, 1399 + ... + 3401.

It is an arithmetic number, because the mean of its divisors is an integer number (217434).

Almost surely, 2^4807200 is an apocalyptic number.

4807200 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 4807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827624).

4807200 is an abundant number, since it is smaller than the sum of its proper divisors (10848048).

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

4807200 is a wasteful number, since it uses less digits than its factorization.

4807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 4807200 is about 2192.5327819670. The cubic root of 4807200 is about 168.7708341904.

The spelling of 4807200 in words is "four million, eight hundred seven thousand, two hundred".