4675200 has 96 divisors (see below), whose sum is σ = 15430560. Its totient is φ = 1244160.

The previous prime is 4675199. The next prime is 4675207. The reversal of 4675200 is 25764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4675207) 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, 9357 + ... + 9843.

It is an arithmetic number, because the mean of its divisors is an integer number (160735).

Almost surely, 2^4675200 is an apocalyptic number.

4675200 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 4675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715280).

4675200 is an abundant number, since it is smaller than the sum of its proper divisors (10755360).

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

4675200 is a wasteful number, since it uses less digits than its factorization.

4675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4675200 is about 2162.2210802783. The cubic root of 4675200 is about 167.2117266258.

The spelling of 4675200 in words is "four million, six hundred seventy-five thousand, two hundred".