493475967 has 24 divisors (see below), whose sum is σ = 718848000. Its totient is φ = 326206608.

The previous prime is 493475947. The next prime is 493475989. The reversal of 493475967 is 769574394.

It is a happy number.

493475967 is a `hidden beast` number, since 4 + 9 + 3 + 47 + 596 + 7 = 666.

It is not a de Polignac number, because 493475967 - 2⁶ = 493475903 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493475947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823534 + ... + 824132.

It is an arithmetic number, because the mean of its divisors is an integer number (29952000).

Almost surely, 2^493475967 is an apocalyptic number.

493475967 is a deficient number, since it is larger than the sum of its proper divisors (225372033).

493475967 is a wasteful number, since it uses less digits than its factorization.

493475967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 493475967 is about 22214.3189632273. The cubic root of 493475967 is about 790.2333162276.

The spelling of 493475967 in words is "four hundred ninety-three million, four hundred seventy-five thousand, nine hundred sixty-seven".