492164505 has 80 divisors (see below), whose sum is σ = 1061470080. Its totient is φ = 213124608.

The previous prime is 492164479. The next prime is 492164537. The reversal of 492164505 is 505461294.

492164505 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 645 + 0 + 5 = 666.

It is not a de Polignac number, because 492164505 - 2⁶ = 492164441 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 492164505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49297 + ... + 58433.

It is an arithmetic number, because the mean of its divisors is an integer number (13268376).

Almost surely, 2^492164505 is an apocalyptic number.

492164505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

492164505 is an abundant number, since it is smaller than the sum of its proper divisors (569305575).

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

492164505 is a wasteful number, since it uses less digits than its factorization.

492164505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9180 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 492164505 is about 22184.7809319813. The cubic root of 492164505 is about 789.5326536689.

The spelling of 492164505 in words is "four hundred ninety-two million, one hundred sixty-four thousand, five hundred five".