4819200 has 108 divisors (see below), whose sum is σ = 15967728. Its totient is φ = 1280000.

The previous prime is 4819189. The next prime is 4819201. The reversal of 4819200 is 29184.

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 (4819201) 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, 19075 + ... + 19325.

Almost surely, 2^4819200 is an apocalyptic number.

4819200 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 4819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983864).

4819200 is an abundant number, since it is smaller than the sum of its proper divisors (11148528).

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

4819200 is a wasteful number, since it uses less digits than its factorization.

4819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4819200 is about 2195.2676374420. The cubic root of 4819200 is about 168.9111492152.

It can be divided in two parts, 48 and 19200, that multiplied together give a square (921600 = 960²).

The spelling of 4819200 in words is "four million, eight hundred nineteen thousand, two hundred".