4743200 has 162 divisors, whose sum is σ = 14805693. Its totient is φ = 1478400.

The previous prime is 4743199. The next prime is 4743223. The reversal of 4743200 is 23474.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4648336 + 94864 = 2156^2 + 308^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1540.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 431195 + ... + 431205.

Almost surely, 2^4743200 is an apocalyptic number.

4743200 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 4743200

4743200 is an abundant number, since it is smaller than the sum of its proper divisors (10062493).

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

4743200 is a wasteful number, since it uses less digits than its factorization.

4743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 4743200 is about 2177.8888860546. Note that the first 5 decimals coincide. The cubic root of 4743200 is about 168.0185164776.

Adding to 4743200 its reverse (23474), we get a palindrome (4766674).

The spelling of 4743200 in words is "four million, seven hundred forty-three thousand, two hundred".