491300 has 36 divisors (see below), whose sum is σ = 1132740. Its totient is φ = 184960.

The previous prime is 491299. The next prime is 491327. The reversal of 491300 is 3194.

491300 = 128² + 129² + ... + 152².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 4096 + 487204 = 64^2 + 698^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28892 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (31465).

2⁴⁹¹³⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566370).

491300 is an abundant number, since it is smaller than the sum of its proper divisors (641440).

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

491300 is a wasteful number, since it uses less digits than its factorization.

491300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 491300 is about 700.9279563550. The cubic root of 491300 is about 78.9070101714.

Multiplying 491300 by its sum of digits (17), we get a square (8352100 = 2890²).

491300 divided by its sum of digits (17) gives a square (28900 = 170²).

Adding to 491300 its reverse (3194), we get a palindrome (494494).

The spelling of 491300 in words is "four hundred ninety-one thousand, three hundred".