491472 has 30 divisors (see below), whose sum is σ = 1375842. Its totient is φ = 163776.

The previous prime is 491461. The next prime is 491483. The reversal of 491472 is 274194.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (491461) and next prime (491483).

It can be written as a sum of positive squares in only one way, i.e., 484416 + 7056 = 696^2 + 84^2 .

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 491472.

It is an unprimeable number.

491472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1563 + ... + 1850.

2⁴⁹¹⁴⁷² is an apocalyptic number.

It is an amenable number.

491472 is an abundant number, since it is smaller than the sum of its proper divisors (884370).

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

491472 is a wasteful number, since it uses less digits than its factorization.

491472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3418 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 491472 is about 701.0506401110. The cubic root of 491472 is about 78.9162173240.

It can be divided in two parts, 49 and 1472, that added together give a square (1521 = 39²).

The spelling of 491472 in words is "four hundred ninety-one thousand, four hundred seventy-two".