4789200 has 120 divisors (see below), whose sum is σ = 16575328. Its totient is φ = 1175040.

The previous prime is 4789199. The next prime is 4789201. The reversal of 4789200 is 29874.

It is an interprime number because it is at equal distance from previous prime (4789199) and next prime (4789201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4789201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15447 + ... + 15753.

Almost surely, 2^4789200 is an apocalyptic number.

4789200 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 4789200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287664).

4789200 is an abundant number, since it is smaller than the sum of its proper divisors (11786128).

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

4789200 is a wasteful number, since it uses less digits than its factorization.

4789200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 4789200 is about 2188.4240905272. The cubic root of 4789200 is about 168.5599231556.

The spelling of 4789200 in words is "four million, seven hundred eighty-nine thousand, two hundred".