4768200 has 96 divisors (see below), whose sum is σ = 16442400. Its totient is φ = 1270080.

The previous prime is 4768193. The next prime is 4768207. The reversal of 4768200 is 28674.

It is an interprime number because it is at equal distance from previous prime (4768193) and next prime (4768207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (4768207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4959 + ... + 5841.

It is an arithmetic number, because the mean of its divisors is an integer number (171275).

Almost surely, 2^4768200 is an apocalyptic number.

4768200 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 4768200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221200).

4768200 is an abundant number, since it is smaller than the sum of its proper divisors (11674200).

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

4768200 is a wasteful number, since it uses less digits than its factorization.

4768200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4768200 is about 2183.6208462093. The cubic root of 4768200 is about 168.3131912856.

The spelling of 4768200 in words is "four million, seven hundred sixty-eight thousand, two hundred".