491984 has 20 divisors (see below), whose sum is σ = 966084. Its totient is φ = 242688.

The previous prime is 491983. The next prime is 492007. The reversal of 491984 is 489194.

It can be written as a sum of positive squares in 2 ways, for example, as 107584 + 384400 = 328^2 + 620^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 491984.

It is not an unprimeable number, because it can be changed into a prime (491983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 1710.

2⁴⁹¹⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

491984 is a deficient number, since it is larger than the sum of its proper divisors (474100).

491984 is a wasteful number, since it uses less digits than its factorization.

491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 491984 is about 701.4157112583. The cubic root of 491984 is about 78.9436119538.

The spelling of 491984 in words is "four hundred ninety-one thousand, nine hundred eighty-four".