4491200 has 84 divisors (see below), whose sum is σ = 12661392. Its totient is φ = 1536000.

The previous prime is 4491191. The next prime is 4491203. The reversal of 4491200 is 21944.

4491200 is nontrivially palindromic in base 13 and base 15.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4491203) 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, 11000 + ... + 11400.

Almost surely, 2^4491200 is an apocalyptic number.

4491200 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 4491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330696).

4491200 is an abundant number, since it is smaller than the sum of its proper divisors (8170192).

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

4491200 is a wasteful number, since it uses less digits than its factorization.

4491200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4491200 is about 2119.2451486319. The cubic root of 4491200 is about 164.9886738476.

The spelling of 4491200 in words is "four million, four hundred ninety-one thousand, two hundred".