4797200 has 60 divisors (see below), whose sum is σ = 11762640. Its totient is φ = 1879680.

The previous prime is 4797193. The next prime is 4797211. The reversal of 4797200 is 27974.

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, 26711 + ... + 26889.

It is an arithmetic number, because the mean of its divisors is an integer number (196044).

Almost surely, 2^4797200 is an apocalyptic number.

4797200 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 4797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881320).

4797200 is an abundant number, since it is smaller than the sum of its proper divisors (6965440).

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

4797200 is a wasteful number, since it uses less digits than its factorization.

4797200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 4797200 is about 2190.2511271541. The cubic root of 4797200 is about 168.6537265213.

The spelling of 4797200 in words is "four million, seven hundred ninety-seven thousand, two hundred".