4661200 has 60 divisors (see below), whose sum is σ = 11501248. Its totient is φ = 1814400.

The previous prime is 4661183. The next prime is 4661207. The reversal of 4661200 is 21664.

4661200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17065 + ... + 17335.

Almost surely, 2^4661200 is an apocalyptic number.

4661200 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 4661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5750624).

4661200 is an abundant number, since it is smaller than the sum of its proper divisors (6840048).

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

4661200 is a wasteful number, since it uses less digits than its factorization.

4661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4661200 is about 2158.9812412339. The cubic root of 4661200 is about 167.0446532201.

Adding to 4661200 its reverse (21664), we get a palindrome (4682864).

The spelling of 4661200 in words is "four million, six hundred sixty-one thousand, two hundred".