491200 has 42 divisors (see below), whose sum is σ = 1212596. Its totient is φ = 195840.

The previous prime is 491171. The next prime is 491201. The reversal of 491200 is 2194.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 491200.

It is not an unprimeable number, because it can be changed into a prime (491201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1447 + ... + 1753.

2⁴⁹¹²⁰⁰ is an apocalyptic number.

491200 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 491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606298).

491200 is an abundant number, since it is smaller than the sum of its proper divisors (721396).

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

491200 is a wasteful number, since it uses less digits than its factorization.

491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 491200 is about 700.8566187174. The cubic root of 491200 is about 78.9016561878.

Adding to 491200 its reverse (2194), we get a palindrome (493394).

It can be divided in two parts, 4 and 91200, that added together give a square (91204 = 302²).

The spelling of 491200 in words is "four hundred ninety-one thousand, two hundred".