491904 has 96 divisors (see below), whose sum is σ = 1644240. Its totient is φ = 138240.

The previous prime is 491899. The next prime is 491923. The reversal of 491904 is 409194.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

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, 8034 + ... + 8094.

2⁴⁹¹⁹⁰⁴ 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 491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822120).

491904 is an abundant number, since it is smaller than the sum of its proper divisors (1152336).

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

491904 is a wasteful number, since it uses less digits than its factorization.

491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 491904 is about 701.3586814177. The cubic root of 491904 is about 78.9393327962.

It can be divided in two parts, 49190 and 4, that added together give a palindrome (49194).

The spelling of 491904 in words is "four hundred ninety-one thousand, nine hundred four".