4893200 has 60 divisors (see below), whose sum is σ = 12673668. Its totient is φ = 1804800.

The previous prime is 4893197. The next prime is 4893209. The reversal of 4893200 is 23984.

It can be written as a sum of positive squares in 6 ways, for example, as 364816 + 4528384 = 604^2 + 2128^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4893200.

It is not an unprimeable number, because it can be changed into a prime (4893209) 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, 4730 + ... + 5670.

Almost surely, 2^4893200 is an apocalyptic number.

4893200 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 4893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336834).

4893200 is an abundant number, since it is smaller than the sum of its proper divisors (7780468).

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

4893200 is a wasteful number, since it uses less digits than its factorization.

4893200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4893200 is about 2212.0578654276. The cubic root of 4893200 is about 169.7713188174.

The spelling of 4893200 in words is "four million, eight hundred ninety-three thousand, two hundred".