491712 has 56 divisors (see below), whose sum is σ = 1408176. Its totient is φ = 150528.

The previous prime is 491707. The next prime is 491719. The reversal of 491712 is 217194.

It is a super-4 number, since 4×491712⁴ (a number of 24 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (491719) by changing a digit.

491712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2398 + ... + 2594.

It is an arithmetic number, because the mean of its divisors is an integer number (25146).

2⁴⁹¹⁷¹² 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 491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704088).

491712 is an abundant number, since it is smaller than the sum of its proper divisors (916464).

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

491712 is a wasteful number, since it uses less digits than its factorization.

491712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 491712 is about 701.2217908765. The cubic root of 491712 is about 78.9290609245.

The spelling of 491712 in words is "four hundred ninety-one thousand, seven hundred twelve".