493072 has 10 divisors (see below), whose sum is σ = 955358. Its totient is φ = 246528.

The previous prime is 493067. The next prime is 493093. The reversal of 493072 is 270394.

493072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 197136 = 544^2 + 444^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

493072 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15393 + ... + 15424.

2⁴⁹³⁰⁷² is an apocalyptic number.

It is an amenable number.

493072 is a deficient number, since it is larger than the sum of its proper divisors (462286).

493072 is a wasteful number, since it uses less digits than its factorization.

493072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30825 (or 30819 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 493072 is about 702.1908572461. The cubic root of 493072 is about 79.0017624987.

The spelling of 493072 in words is "four hundred ninety-three thousand, seventy-two".