4643200 has 48 divisors (see below), whose sum is σ = 11478060. Its totient is φ = 1856000.

The previous prime is 4643189. The next prime is 4643203. The reversal of 4643200 is 23464.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2475 + ... + 3925.

Almost surely, 2^4643200 is an apocalyptic number.

4643200 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 4643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739030).

4643200 is an abundant number, since it is smaller than the sum of its proper divisors (6834860).

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

4643200 is a wasteful number, since it uses less digits than its factorization.

4643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4643200 is about 2154.8085761849. The cubic root of 4643200 is about 166.8293522598.

Adding to 4643200 its reverse (23464), we get a palindrome (4666664).

It can be divided in two parts, 4 and 643200, that added together give a square (643204 = 802²).

The spelling of 4643200 in words is "four million, six hundred forty-three thousand, two hundred".