4655200 has 108 divisors (see below), whose sum is σ = 12960108. Its totient is φ = 1619200.

The previous prime is 4655173. The next prime is 4655201. The reversal of 4655200 is 25564.

4655200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4655201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202389 + ... + 202411.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

Almost surely, 2^4655200 is an apocalyptic number.

4655200 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 4655200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480054).

4655200 is an abundant number, since it is smaller than the sum of its proper divisors (8304908).

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

4655200 is a wasteful number, since it uses less digits than its factorization.

4655200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 4655200 is about 2157.5912495188. The cubic root of 4655200 is about 166.9729479171.

Multiplying 4655200 by its sum of digits (22), we get a square (102414400 = 10120²).

4655200 divided by its sum of digits (22) gives a square (211600 = 460²).

It can be divided in two parts, 465 and 5200, that added together give a palindrome (5665).

The spelling of 4655200 in words is "four million, six hundred fifty-five thousand, two hundred".