4689200 has 60 divisors (see below), whose sum is σ = 11877960. Its totient is φ = 1774080.

The previous prime is 4689197. The next prime is 4689239. The reversal of 4689200 is 29864.

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, 7292 + ... + 7908.

It is an arithmetic number, because the mean of its divisors is an integer number (197966).

Almost surely, 2^4689200 is an apocalyptic number.

4689200 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 4689200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938980).

4689200 is an abundant number, since it is smaller than the sum of its proper divisors (7188760).

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

4689200 is a wasteful number, since it uses less digits than its factorization.

4689200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4689200 is about 2165.4560720550. The cubic root of 4689200 is about 167.3784668266.

The spelling of 4689200 in words is "four million, six hundred eighty-nine thousand, two hundred".