4652200 has 48 divisors (see below), whose sum is σ = 12365280. Its totient is φ = 1594560.

The previous prime is 4652189. The next prime is 4652239. The reversal of 4652200 is 22564.

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, 262 + ... + 3061.

It is an arithmetic number, because the mean of its divisors is an integer number (257610).

Almost surely, 2^4652200 is an apocalyptic number.

4652200 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 4652200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182640).

4652200 is an abundant number, since it is smaller than the sum of its proper divisors (7713080).

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

4652200 is a wasteful number, since it uses less digits than its factorization.

4652200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4652200 is about 2156.8959177485. The cubic root of 4652200 is about 166.9370721591.

Adding to 4652200 its reverse (22564), we get a palindrome (4674764).

The spelling of 4652200 in words is "four million, six hundred fifty-two thousand, two hundred".