491616 has 48 divisors (see below), whose sum is σ = 1436400. Its totient is φ = 163584.

The previous prime is 491611. The next prime is 491627. The reversal of 491616 is 616194.

491616 is a `hidden beast` number, since 49 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 491616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 580 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (29925).

2⁴⁹¹⁶¹⁶ 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 491616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718200).

491616 is an abundant number, since it is smaller than the sum of its proper divisors (944784).

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

491616 is a wasteful number, since it uses less digits than its factorization.

491616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

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

The square root of 491616 is about 701.1533355836. The cubic root of 491616 is about 78.9239239859.

The spelling of 491616 in words is "four hundred ninety-one thousand, six hundred sixteen".