491764 has 36 divisors (see below), whose sum is σ = 1083684. Its totient is φ = 193536.

The previous prime is 491747. The next prime is 491773. The reversal of 491764 is 467194.

It can be written as a sum of positive squares in 2 ways, for example, as 94864 + 396900 = 308^2 + 630^2 .

Its product of digits (6048) is a multiple of the sum of its prime factors (224).

It is a nialpdrome in base 14.

It is a congruent number.

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, 2452 + ... + 2644.

2⁴⁹¹⁷⁶⁴ 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 491764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541842).

491764 is an abundant number, since it is smaller than the sum of its proper divisors (591920).

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

491764 is a wasteful number, since it uses less digits than its factorization.

491764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 491764 is about 701.2588680366. The cubic root of 491764 is about 78.9318431537.

It can be divided in two parts, 49 and 1764, that multiplied together give a square (86436 = 294²).

The spelling of 491764 in words is "four hundred ninety-one thousand, seven hundred sixty-four".